a, \(3x^2+4x=2x\Leftrightarrow3x^2+2x=0\Leftrightarrow x\left(3x+2\right)=0\Leftrightarrow x=-\dfrac{2}{3};x=0\)
b, \(25x^2-\dfrac{64}{100}=0\Leftrightarrow25x^2-\left(\dfrac{8}{10}\right)^2=0\Leftrightarrow\left(5x-\dfrac{8}{10}\right)\left(5x+\dfrac{8}{10}\right)=0\)
\(\Leftrightarrow x=\dfrac{4}{25};x=-\dfrac{4}{25}\)
c, \(x^4-16x^2=0\Leftrightarrow x^2\left(x-4\right)\left(x+4\right)=0\Leftrightarrow x=0;x=-4;x=4\)
sửa d, \(x^2+x=6\Leftrightarrow x^2+x-6=0\Leftrightarrow\left(x-2\right)\left(x+3\right)=0\Leftrightarrow x=-3;x=2\)
e, \(x^2-7x=-12\Leftrightarrow x^2-7x+12=0\Leftrightarrow\left(x-4\right)\left(x-3\right)=0\Leftrightarrow x=3;x=4\)
e: ta có: \(x^2-7x=-12\)
\(\Leftrightarrow x^2-7x+12=0\)
\(\Leftrightarrow\left(x-3\right)\left(x-4\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x=3\\x=4\end{matrix}\right.\)