$$(x+3)^2+11(x+3)+30 = 0$$
Answer
$$ \begin{matrix}x_1 = -8 & x_2 = -9 \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} (x+3)^2+11(x+3)+30 &= 0&& \text{simplify left side} \\[1 em]x^2+6x+9+11(x+3)+30 &= 0&& \\[1 em]x^2+6x+9+11x+33+30 &= 0&& \\[1 em]x^2+17x+42+30 &= 0&& \\[1 em]x^2+17x+72 &= 0&& \\[1 em] \end{aligned} $$
$ x^{2}+17x+72 = 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
Polynomial Equations Solver