Question
$$9(x^2-13)+9 = -8$$
Answer
$$ \begin{matrix}x_1 = \dfrac{ 10 }{ 3 } & x_2 = -\dfrac{ 10 }{ 3 } \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} 9(x^2-13)+9 &= -8&& \text{simplify left side} \\[1 em]9x^2-117+9 &= -8&& \\[1 em]9x^2-108 &= -8&& \text{move all terms to the left hand side } \\[1 em]9x^2-108+8 &= 0&& \text{simplify left side} \\[1 em]9x^2-100 &= 0&& \\[1 em] \end{aligned} $$
$ 9x^{2}-100 = 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