Question
$$(-4x+5)(2x-3) = 0$$
Answer
$$ \begin{matrix}x_1 = \dfrac{ 3 }{ 2 } & x_2 = \dfrac{ 5 }{ 4 } \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} (-4x+5)(2x-3) &= 0&& \text{simplify left side} \\[1 em]-8x^2+12x+10x-15 &= 0&& \\[1 em]-8x^2+22x-15 &= 0&& \\[1 em] \end{aligned} $$
$ -8x^{2}+22x-15 = 0 $ is a quadratic equation.
You can use step-by-step quadratic equation solver to see a detailed explanation on how to solve this equation.
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