Question
$$-3xx+4(xx-2) = 15$$
Answer
$$ \begin{matrix}x_1 = -\sqrt{ 23 } & x_2 = \sqrt{ 23 } \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} -3xx+4(xx-2) &= 15&& \text{simplify left side} \\[1 em]-3x^2+4(x^2-2) &= 15&& \\[1 em]-3x^2+4x^2-8 &= 15&& \\[1 em]x^2-8 &= 15&& \text{move all terms to the left hand side } \\[1 em]x^2-8-15 &= 0&& \text{simplify left side} \\[1 em]x^2-23 &= 0&& \\[1 em] \end{aligned} $$
$ x^{2}-23 = 0 $ is a quadratic equation.
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