$$(x+1)^2 = (2x+5)^2$$
Answer
$$ \begin{matrix}x_1 = -2 & x_2 = -4 \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} (x+1)^2 &= (2x+5)^2&& \text{simplify left and right hand side} \\[1 em]x^2+2x+1 &= 4x^2+20x+25&& \text{move all terms to the left hand side } \\[1 em]x^2+2x+1-4x^2-20x-25 &= 0&& \text{simplify left side} \\[1 em]-3x^2-18x-24 &= 0&& \\[1 em] \end{aligned} $$
$ -3x^{2}-18x-24 = 0 $ is a quadratic equation.
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