Question
$$5x-(x+3)^2 = 0$$
Answer
$$ \begin{matrix}x_1 = -\dfrac{ 1 }{ 2 }+\dfrac{\sqrt{ 35 }}{ 2 }i & x_2 = -\dfrac{ 1 }{ 2 }-\dfrac{\sqrt{ 35 }}{ 2 }i \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} 5x-(x+3)^2 &= 0&& \text{simplify left side} \\[1 em]5x-(x^2+6x+9) &= 0&& \\[1 em]5x-x^2-6x-9 &= 0&& \\[1 em]-x^2-x-9 &= 0&& \\[1 em] \end{aligned} $$
$ -x^{2}-x-9 = 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