Question
$$x+3-(2x^2-2x) = 0$$
Answer
$$ \begin{matrix}x_1 = \dfrac{ 3 }{ 4 }-\dfrac{\sqrt{ 33 }}{ 4 } & x_2 = \dfrac{ 3 }{ 4 }+\dfrac{\sqrt{ 33 }}{ 4 } \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} x+3-(2x^2-2x) &= 0&& \text{simplify left side} \\[1 em]x+3-2x^2+2x &= 0&& \\[1 em]-2x^2+3x+3 &= 0&& \\[1 em] \end{aligned} $$
$ -2x^{2}+3x+3 = 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