$$(x-2)(3x+5) = (2x-4)(x+1)$$
Answer
$$ \begin{matrix}x_1 = 2 & x_2 = -3 \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} (x-2)(3x+5) &= (2x-4)(x+1)&& \text{simplify left and right hand side} \\[1 em]3x^2+5x-6x-10 &= 2x^2+2x-4x-4&& \\[1 em]3x^2-x-10 &= 2x^2-2x-4&& \text{move all terms to the left hand side } \\[1 em]3x^2-x-10-2x^2+2x+4 &= 0&& \text{simplify left side} \\[1 em]x^2+x-6 &= 0&& \\[1 em] \end{aligned} $$
$ x^{2}+x-6 = 0 $ is a quadratic equation.
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