Question
$$(3x-7)^2 = 2x^2$$
Answer
$$ \begin{matrix}x_1 = 3-\sqrt{ 2 } & x_2 = 3+\sqrt{ 2 } \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} (3x-7)^2 &= 2x^2&& \text{simplify left side} \\[1 em]9x^2-42x+49 &= 2x^2&& \text{move all terms to the left hand side } \\[1 em]9x^2-42x+49-2x^2 &= 0&& \text{simplify left side} \\[1 em]7x^2-42x+49 &= 0&& \\[1 em] \end{aligned} $$
$ 7x^{2}-42x+49 = 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