Question

Tìm x biết 4x^2 -9 = 3x ( 2x - 3 )

Answer 1

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

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

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

\(\Rightarrow\left[{}\begin{matrix}x=\dfrac{3}{2}\\x=3\end{matrix}\right.\)

Answer 2

\(\Rightarrow\left(2x-3\right)\left(2x+3\right)-3x\left(2x-3\right)=0\\ \Rightarrow\left(2x-3\right)\left(2x+3-3x\right)=0\\ \Rightarrow\left[{}\begin{matrix}x=\dfrac{3}{2}\\x=3\end{matrix}\right.\)