$$x^2+12^2 = (3x-2)^2$$
Answer
$$ \begin{matrix}x_1 = 5 & x_2 = -\dfrac{ 7 }{ 2 } \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} x^2+12^2 &= (3x-2)^2&& \text{simplify left and right hand side} \\[1 em]x^2+144 &= 9x^2-12x+4&& \text{move all terms to the left hand side } \\[1 em]x^2+144-9x^2+12x-4 &= 0&& \text{simplify left side} \\[1 em]-8x^2+12x+140 &= 0&& \\[1 em] \end{aligned} $$
$ -8x^{2}+12x+140 = 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