Question
(x - 4) (2x + 3 ) = 2x²

Answer


$\begin{aligned} & (x-4)(2 x+3)=2 x^2 \\ & \Rightarrow x(2 x+3)-4(2 x+3)=2 x^2 \\ & \Rightarrow 2 x^2+3 x-8 x-12=2 x^2 \\ & \Rightarrow 2 x^2+3 x-8 x-2 x^2=12 \\ & \Rightarrow-5 x=12 \\ & \Rightarrow x=\frac{12}{-5}=\frac{-12}{5} \\ & \therefore x=-2 \frac{2}{5}\end{aligned}$

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