Question
$$\frac{6}{2\cdot(2+x)} = 1$$
Answer
$$ \begin{matrix}x_1 = -2 & x_2 = -\dfrac{ 5 }{ 3 } \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} \frac{6}{2\cdot(2+x)} &= 1&& \text{multiply ALL terms by } \color{blue}{ 2\cdot(2+x) }. \\[1 em]2\cdot(2+x)\cdot\frac{6}{2\cdot(2+x)} &= 2\cdot(2+x)\cdot1&& \text{cancel out the denominators} \\[1 em]6x^2+24x+24 &= 2x+4&& \text{move all terms to the left hand side } \\[1 em]6x^2+24x+24-2x-4 &= 0&& \text{simplify left side} \\[1 em]6x^2+22x+20 &= 0&& \\[1 em] \end{aligned} $$
$ 6x^{2}+22x+20 = 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