Question
$$5(x+10)^2-24 = 26$$
Answer
$$ \begin{matrix}x_1 = -10-\sqrt{ 10 } & x_2 = -10+\sqrt{ 10 } \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} 5(x+10)^2-24 &= 26&& \text{simplify left side} \\[1 em]5(x^2+20x+100)-24 &= 26&& \\[1 em]5x^2+100x+500-24 &= 26&& \\[1 em]5x^2+100x+476 &= 26&& \text{move all terms to the left hand side } \\[1 em]5x^2+100x+476-26 &= 0&& \text{simplify left side} \\[1 em]5x^2+100x+450 &= 0&& \\[1 em] \end{aligned} $$
$ 5x^{2}+100x+450 = 0 $ is a quadratic equation.
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