Question
$$(5x+6)(8x-4) = 0$$
Answer
$$ \begin{matrix}x_1 = \dfrac{ 1 }{ 2 } & x_2 = -\dfrac{ 6 }{ 5 } \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} (5x+6)(8x-4) &= 0&& \text{simplify left side} \\[1 em]40x^2-20x+48x-24 &= 0&& \\[1 em]40x^2+28x-24 &= 0&& \\[1 em] \end{aligned} $$
$ 40x^{2}+28x-24 = 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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