Question
$$2x^2+7x+55 = (x+7)^2$$
Answer
$$ \begin{matrix}x_1 = 1 & x_2 = 6 \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} 2x^2+7x+55 &= (x+7)^2&& \text{simplify right side} \\[1 em]2x^2+7x+55 &= x^2+14x+49&& \text{move all terms to the left hand side } \\[1 em]2x^2+7x+55-x^2-14x-49 &= 0&& \text{simplify left side} \\[1 em]x^2-7x+6 &= 0&& \\[1 em] \end{aligned} $$
$ x^{2}-7x+6 = 0 $ is a quadratic equation.
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