$$(4x+2)^2 = x^2$$
Answer
$$ \begin{matrix}x_1 = -\dfrac{ 2 }{ 3 } & x_2 = -\dfrac{ 2 }{ 5 } \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} (4x+2)^2 &= x^2&& \text{simplify left side} \\[1 em]16x^2+16x+4 &= x^2&& \text{move all terms to the left hand side } \\[1 em]16x^2+16x+4-x^2 &= 0&& \text{simplify left side} \\[1 em]15x^2+16x+4 &= 0&& \\[1 em] \end{aligned} $$
$ 15x^{2}+16x+4 = 0 $ is a quadratic equation.
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