Question
$$\frac{2x^2+6x+9}{x+1} = 0$$
Answer
$$ \begin{matrix}x_1 = -\dfrac{ 3 }{ 2 }+\dfrac{ 3 }{ 2 }i & x_2 = -\dfrac{ 3 }{ 2 }-\dfrac{ 3 }{ 2 }i \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} \frac{2x^2+6x+9}{x+1} &= 0&& \text{multiply ALL terms by } \color{blue}{ x+1 }. \\[1 em](x+1)\frac{2x^2+6x+9}{x+1} &= (x+1)\cdot0&& \text{cancel out the denominators} \\[1 em]2x^2+6x+9 &= 0&& \\[1 em] \end{aligned} $$
$ 2x^{2}+6x+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