Question
$$-2 = -4x+2x(x-6)$$
Answer
$$ \begin{matrix}x_1 = 4-\sqrt{ 15 } & x_2 = 4+\sqrt{ 15 } \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} -2 &= -4x+2x(x-6)&& \text{simplify right side} \\[1 em]-2 &= -4x+2x^2-12x&& \\[1 em]-2 &= 2x^2-16x&& \text{move all terms to the left hand side } \\[1 em]-2-2x^2+16x &= 0&& \text{simplify left side} \\[1 em]-2x^2+16x-2 &= 0&& \\[1 em] \end{aligned} $$
$ -2x^{2}+16x-2 = 0 $ is a quadratic equation.
You can use step-by-step quadratic equation solver to see a detailed explanation on how to solve this equation.
This page was created using
Equations Solver