Question
$$60 = x(x-2)+x+2x+8+10$$
Answer
$$ \begin{matrix}x_1 = 6 & x_2 = -7 \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} 60 &= x(x-2)+x+2x+8+10&& \text{simplify right side} \\[1 em]60 &= x^2-2x+x+2x+8+10&& \\[1 em]60 &= x^2-2x+x+2x+8+10&& \\[1 em]60 &= x^2+x+18&& \text{move all terms to the left hand side } \\[1 em]60-x^2-x-18 &= 0&& \text{simplify left side} \\[1 em]-x^2-x+42 &= 0&& \\[1 em] \end{aligned} $$
$ -x^{2}-x+42 = 0 $ is a quadratic equation.
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