Question
Solve equation by factorization : x(2x + 5) = 3
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Answer
$\begin{aligned} & x(2 x+5)=3 \\ & \Rightarrow 2 x^2+5 x-3=0 \\ & \Rightarrow 2 x^2+6 x-x-3=0 \\ & \Rightarrow 2 x(x+3)-1(x+3)=0 \\ & \Rightarrow(x+3)(2 x-1)=0 \\ & \text { Either } x+3=0, \\ & \text { then } x=-3 \\ & \text { or } \\ & 2 x-1=0 \\ & \text { then } 2 x=1 \\ & \Rightarrow x=\frac{1}{2} \\ & \therefore x=-3, \frac{1}{2} .\end{aligned}$
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