Question
$$4x\cdot2+3x\cdot(8-5x) = 4$$
Answer
$$ \begin{matrix}x_1 = 2 & x_2 = \dfrac{ 2 }{ 15 } \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} 4x\cdot2+3x\cdot(8-5x) &= 4&& \text{simplify left side} \\[1 em]8x+3x\cdot(8-5x) &= 4&& \\[1 em]8x+24x-15x^2 &= 4&& \\[1 em]-15x^2+32x &= 4&& \text{move all terms to the left hand side } \\[1 em]-15x^2+32x-4 &= 0&& \\[1 em] \end{aligned} $$
$ -15x^{2}+32x-4 = 0 $ is a quadratic equation.
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