Question
$$4x^2+21x-36 = x+7$$
Answer
$$ \begin{matrix}x_1 = -\dfrac{ 5 }{ 2 }-\sqrt{ 17 } & x_2 = -\dfrac{ 5 }{ 2 }+\sqrt{ 17 } \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} 4x^2+21x-36 &= x+7&& \text{move all terms to the left hand side } \\[1 em]4x^2+21x-36-x-7 &= 0&& \text{simplify left side} \\[1 em]4x^2+20x-43 &= 0&& \\[1 em] \end{aligned} $$
$ 4x^{2}+20x-43 = 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