e, \(18x-19=21+8x\)

\(\Rightarrow18x-8x=21+19\)

\(\Rightarrow10x=30\)

\(\Rightarrow x=3\)

Vậy \(x=3\)

g, \(18-4x=-20-6x\)

\(\Rightarrow-4x+6x=-20-18\)

\(\Rightarrow-2x=-38\)

\(\Rightarrow x=19\)

Vậy \(x=19\)

h, \(-15x-24=-7x-32\)

\(\Rightarrow-15x+7x=-32+24\)

\(\Rightarrow-8x=-8\)

\(\Rightarrow x=1\)

Vậy \(x=1\)

i, \(15x-3\left(4x-6\right)=-12+36\)

\(\Rightarrow15x-12x+18=-12+36\)

\(\Rightarrow7x=-12+36-18\)

\(\Rightarrow7x=6\)

\(\Rightarrow x=\frac{6}{7}\)

Vậy \(x=\frac{6}{7}\)

k, \(-10x-27=-7x+33\)

\(\Rightarrow-10x+7x=33+27\)

\(\Rightarrow-3x=60\)

\(\Rightarrow x=-20\)

m, \(-17x-24=-9x-40\)

\(\Rightarrow-17x+9x=-40+24\)

\(\Rightarrow-8x=-16\)

\(\Rightarrow x=2\)

Vậy \(x=2\)

n, \(-23x-25=-18x+75\)

\(\Rightarrow-23x+18x=75+25\)

\(\Rightarrow-5x=100\)

\(\Rightarrow x=-20\)

Vậy \(x=-20\)

p, \(-5x+7\left(2x-3\right)=4\left(x-4\right)\)

\(\Rightarrow-5x+14x-21=4x-16\)

\(\Rightarrow-5x+14x-4x=-16+21\)

\(\Rightarrow5x=5\)

\(\Rightarrow x=1\)

Vậy \(x=1\)

q, \(24-6\left(3x+1\right)=-5\left(4x-4\right)-8\)

\(\Rightarrow24-18x-6=-20x+20-8\)

\(\Rightarrow-18x+20x=20-8-24+6\)

\(\Rightarrow2x=-6\)

\(\Rightarrow x=-3\)

Vậy \(x=-3\)

r, \(18-4\left(6-2x\right)=-3\left(4x+5\right)-11\)

\(\Rightarrow18-24+8x=-12x-15-11\)

\(\Rightarrow8x+12x=-15-11-18+24\)

\(\Rightarrow20x=-20\)

\(\Rightarrow x=-1\)

Vậy \(x=-1\)

s, \(-5\left(4x-5\right)-14=6\left(2-3x\right)-10x-9\)

\(\Rightarrow-20x+25-14=12-18x-10x-9\)

\(\Rightarrow-20x+18x+10x=12-9+14-25\)

\(\Rightarrow8x=-8\)

\(\Rightarrow x=-1\)

Vậy \(x=-1\)

Chúc bạn hok tốt!!! tỷ tỷ

\(A=1+3+3^2+...+3^{2016}\)

\(3A=3.\left(1+3+3^2+...+3^{2016}\right)\)

\(3A=3+3^2+3^3+...+3^{2017}\)

\(3A-A=\left(3+3^2+3^3+...+3^{2017}\right)-\left(1+3+3^2+...+3^{2016}\right)\)

\(2A=3^{2017}-1\)

\(A=\left(3^{2017}-1\right):2\)

\(B=1+6+6^2+...+6^{200}\)

\(6B=6.\left(1+6+6^2+...+6^{200}\right)\)

\(6B=6+6^2+6^3+...+6^{201}\)

\(6B-B=\left(6+6^2+6^3+...+3^{201}\right)-\left(1+6+6^2+...+6^{200}\right)\)

\(5B=6^{201}-1\)

\(B=\left(6^{201}-1\right):5\)

\(3^{x-2}.4=324\)

\(3^{x-2}=324:4\)

\(3^{x-2}=81\)

\(3^{x-2}=3^4\)

\(x-2=4\)

\(x=4+2\)

\(x=6\)

\(2x< 20\)

\(\Rightarrow x=\left\{0;1;2;3;4;5;6;7;8;9\right\}\)

**\(\dfrac{2x-5}{6}=\dfrac{x-7}{5}\Leftrightarrow\dfrac{6\left(2x-5\right)}{30}=\dfrac{5\left(x-7\right)}{30}\)

\(\Leftrightarrow6\left(2x-5\right)=5\left(x-7\right)\Leftrightarrow12x-30=5x-35\)

\(\Leftrightarrow12x-5x=-35+30\Leftrightarrow7x=-5\Leftrightarrow x=-\dfrac{5}{7}\)

**\(\dfrac{4x+1}{3}=\dfrac{2x-3}{4}\Leftrightarrow\dfrac{4\left(x+1\right)}{12}=\dfrac{3\left(2x-3\right)}{12}\)

\(\Leftrightarrow4\left(x+1\right)=3\left(2x-3\right)\Leftrightarrow4x+4=6x-9\)

\(\Leftrightarrow4x-6x=-9-4\Leftrightarrow-2x=-13\Leftrightarrow x=\dfrac{13}{2}\)

tìm 2 số nguyên a và b biết :a+b=-1 và a.b=-12.Giup mình nha

\(8-12x+6x^2-x^3\)

\(=\left(2-x\right)^3\)

\(125x^3-75x^2+15x-1\)

\(=\left(5x-1\right)^3\)

\(x^2-xz-9y^2+3yz\)

\(=\left(x-3y\right)\left(x+3y\right)-z\left(x-3y\right)\)

\(=\left(x-3y\right)\left(x+3y-z\right)\)

\(x^3-x^2-5x+125\)

\(=\left(x+5\right)\left(x^2-5x+25\right)-x\left(x+5\right)\)

\(=\left(x+5\right)\left(x^2-5x+25-x\right)\)

\(=\left(x+5\right)\left(x^2-6x+25\right)\)

\(x^3+2x^2-6x-27\)

\(=x^3+5x^2+9x-3x^2-15x-27\)

\(=x\left(x^2+5x+9\right)-3\left(x^2+5x+9\right)\)

\(=\left(x-3\right)\left(x^2+5x+9\right)\)

\(12x^3+4x^2-27x-9\)

\(=4x^2\left(3x+1\right)-9\left(3x+1\right)\)

\(=\left(3x+1\right)\left(4x^2-9\right)\)

\(=\left(3x+1\right)\left(2x-3\right)\left(2x+3\right)\)

\(4x^4+4x^3-x^2-x\)

\(=4x^3\left(x+1\right)-x\left(x+1\right)\)

\(=x\left(x+1\right)\left(4x^2-1\right)\)

\(=x\left(x+1\right)\left(2x-1\right)\left(2x+1\right)\)

Là 00000000000000

\(5\left(3x-2x\right)+5.\left(x-4\right)=6-4x\)

\(15x-10x+5x-20=6-4x\)

\(15x-10x+5x-4x=6+20\)

\(6x=26\)

\(x=26:6\)

\(x=\frac{13}{3}\)

\(\frac{3}{x}+\frac{4}{3}=\frac{5}{6}\)

\(\frac{3}{x}=\frac{5}{6}-\frac{4}{3}\)

\(\frac{3}{x}=\frac{-1}{2}\)

\(\Rightarrow3.2=\left(-1\right).x\)

\(\Rightarrow6=\left(-1\right).x\)

\(\Rightarrow x=6:\left(-1\right)\)

\(\Rightarrow x=-6\)

\(\frac{x}{2}-\frac{2}{y}=\frac{1}{2}\)

\(\Rightarrow\frac{x}{2}-\frac{1}{2}=\frac{2}{y}\)

\(\Rightarrow\frac{x-1}{2}=\frac{2}{y}\)

\(\Rightarrow\hept{\begin{cases}x-1=2\\2=y\end{cases}\Rightarrow}\hept{\begin{cases}x=3\\y=2\end{cases}}\)

\(b,\frac{3}{x}+\frac{4}{3}=\frac{5}{6}\)

\(\Rightarrow\frac{3}{x}=\frac{5}{6}-\frac{4}{3}\)

\(\Rightarrow\frac{3}{x}=\frac{5}{6}-\frac{8}{6}\)

\(\Rightarrow\frac{3}{x}=\frac{-3}{6}\)

\(\Rightarrow x\cdot(-3)=18\Rightarrow x=-6\)

c: =>2/3x=1/10+1/2=1/10+5/10=6/10=3/5

hay \(x=\dfrac{3}{5}:\dfrac{2}{3}=\dfrac{9}{10}\)

d: \(\Leftrightarrow\dfrac{4}{9}:x=\dfrac{2}{3}-\dfrac{3}{5}=\dfrac{1}{15}\)

hay \(x=\dfrac{4}{9}:\dfrac{1}{15}=\dfrac{4}{9}\cdot15=\dfrac{20}{3}\)

f: (x+1/2)(2/3-2x)=0

=>x+1/2=0 hoặc 2/3-2x=0

=>x=-1/2 hoặc x=1/3