Question
$$(5a-8)(2a-3) = 0$$
Answer
$$ \begin{matrix}a_1 = \dfrac{ 3 }{ 2 } & a_2 = \dfrac{ 8 }{ 5 } \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} (5a-8)(2a-3) &= 0&& \text{simplify left side} \\[1 em]10a^2-15a-16a+24 &= 0&& \\[1 em]10a^2-31a+24 &= 0&& \\[1 em] \end{aligned} $$
$ 10x^{2}-31x+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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