Question
$$10x^2-7 = 18x^2+9$$
Answer
$$ \begin{matrix}x_1 = \sqrt{ 2 } i & x_2 = -\sqrt{ 2 } i \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} 10x^2-7 &= 18x^2+9&& \text{move all terms to the left hand side } \\[1 em]10x^2-7-18x^2-9 &= 0&& \text{simplify left side} \\[1 em]-8x^2-16 &= 0&& \\[1 em] \end{aligned} $$
$ -8x^{2}-16 = 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