\(a,\Leftrightarrow x\left(x+5\right)=0\Leftrightarrow\left[{}\begin{matrix}x=0\\x=-5\end{matrix}\right.\\ b,\Leftrightarrow3x\left(x-1\right)+\left(x-1\right)=0\\ \Leftrightarrow\left(x-1\right)\left(3x+1\right)=0\\ \Leftrightarrow\left[{}\begin{matrix}x=1\\x=-\dfrac{1}{3}\end{matrix}\right.\\ c,\Leftrightarrow\left(x+2\right)\left(2x-3\right)=0\Leftrightarrow\left[{}\begin{matrix}x=-2\\x=\dfrac{3}{2}\end{matrix}\right.\)

Đáp án D

Đáp án : D.

a) \(\Rightarrow x\left(x+3\right)=0\)

\(\Rightarrow\left[{}\begin{matrix}x=0\\x=-3\end{matrix}\right.\)

b) \(\Rightarrow x\left(x^2-4\right)=0\Rightarrow x\left(x-2\right)\left(x+2\right)=0\)

\(\Rightarrow\left[{}\begin{matrix}x=0\\x=2\\x=-2\end{matrix}\right.\)

c) \(\Rightarrow\left(x-1\right)\left(5x-1\right)=0\)

\(\Rightarrow\left[{}\begin{matrix}x=1\\x=\dfrac{1}{5}\end{matrix}\right.\)

d) \(\Rightarrow2\left(x+5\right)-x\left(x+5\right)=0\Rightarrow\left(x+5\right)\left(2-x\right)=0\)

\(\Rightarrow\left[{}\begin{matrix}x=-5\\x=2\end{matrix}\right.\)

e) \(\Rightarrow2x^2-10x-3x-2x^2=26\)

\(\Rightarrow-13x=26\Rightarrow x=-2\)

f) \(\Rightarrow\left(x-2012\right)\left(5x-1\right)=0\)

\(\Rightarrow\left[{}\begin{matrix}x=2012\\x=\dfrac{1}{5}\end{matrix}\right.\)

a: \(x\in\left\{0;25\right\}\)

c: \(x\in\left\{0;5\right\}\)

Ta có : x(x - 3) - 2x + 6 = 0

<=> x(x - 3) - (2x - 6) = 0

=> x(x - 3) - 2(x - 3) = 0

=> (x - 2)(x - 3) = 0

\(\Leftrightarrow\orbr{\begin{cases}x-2=0\\x-3=0\end{cases}}\)

\(\Leftrightarrow\orbr{\begin{cases}x=2\\x=3\end{cases}}\)

a)

\(\Rightarrow x\left(x-5\right)=0\)

\(\Rightarrow\left[\begin{array}{nghiempt}x=0\\x-5=0\end{array}\right.\)

\(\Rightarrow\left[\begin{array}{nghiempt}x=0\\x=5\end{array}\right.\)

b)

\(\Rightarrow3x\left(x-2\right)-2\left(x-2\right)=0\)

\(\Rightarrow\left(x-2\right)\left(3x-2\right)=0\)

\(\Rightarrow\left[\begin{array}{nghiempt}x-2=0\\3x-2=0\end{array}\right.\)\(\Rightarrow\left[\begin{array}{nghiempt}x=2\\x=\frac{2}{3}\end{array}\right.\)

c)

\(\Rightarrow\left(3x-1\right)\left(5x+x-2\right)=0\)

\(\Rightarrow\left(3x-2\right)^2.2=0\)

\(\Rightarrow3x-2=0\)

\(\Rightarrow x=\frac{2}{3}\)

\(a)\) \(\left(5x-1\right)^2-5x\left(5x-1\right)=0\)

\(\Leftrightarrow\)\(\left(5x-1\right)\left(5x-1-5x\right)=0\)

\(\Leftrightarrow\)\(\left(5x-1\right).\left(-1\right)=0\)

\(\Leftrightarrow\)\(5x-1=0\)

\(\Leftrightarrow\)\(5x=1\)

\(\Leftrightarrow\)\(x=\frac{1}{5}\)

Vậy \(x=\frac{1}{5}\)

\(b)\) \(x\left(x+1\right)\left(x+2\right)=0\)

Suy ra \(x=0\) hoặc \(x+1=0\) hoặc \(x+2=0\)

\(\Leftrightarrow\)\(x=0\) hoặc \(x=-1\) hoặc \(x=-2\)

Vậy \(x=0\) hoặc \(x=-1\) hoặc \(x=-2\)

\(c)\) \(\left(3x+2\right)x-3\left(3x+2\right)=0\)

\(\Leftrightarrow\)\(\left(3x+2\right)\left(x-3\right)=0\)

\(\Leftrightarrow\)\(\orbr{\begin{cases}3x+2=0\\x-3=0\end{cases}\Leftrightarrow\orbr{\begin{cases}3x=0-2\\x=0+3\end{cases}}}\)

\(\Leftrightarrow\)\(\orbr{\begin{cases}3x=-2\\x=3\end{cases}\Leftrightarrow\orbr{\begin{cases}x=\frac{-2}{3}\\x=3\end{cases}}}\)

Vậy \(x=\frac{-2}{3}\) hoặc \(x=3\)

Chúc bạn học tốt ~ 

a/ \(\left(5x-1\right)^2-5x\left(5x-1\right)=0\)

<=> \(\left(5x-1\right)\left(5x-1-5x\right)=0\)

<=> \(-1\left(5x-1\right)=0\)

<=> \(5x-1=0\)

<=> \(5x=1\)

<=> \(x=\frac{1}{5}\)

b/ \(x\left(x+1\right)\left(x+2\right)=0\)

<=> \(x=0\) hoặc \(\orbr{\begin{cases}x+1=0\\x+2=0\end{cases}}\)

<=> \(x=0\)hoặc \(\orbr{\begin{cases}x=-1\\x=-2\end{cases}}\)

c/ \(\left(3x+2\right)x-3\left(3x+2\right)=0\)

<=> \(\left(3x+2\right)\left(x-3\right)=0\)

<=> \(\orbr{\begin{cases}3x+2=0\\x-3=0\end{cases}}\)

<=> \(\orbr{\begin{cases}3x=-2\\x=3\end{cases}}\)

<=> \(\orbr{\begin{cases}x=-\frac{2}{3}\\x=3\end{cases}}\)