Question
$$y+\frac{6}{y} = -7$$
Answer
$$ \begin{matrix}y_1 = -1 & y_2 = -6 \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} y+\frac{6}{y} &= -7&& \text{multiply ALL terms by } \color{blue}{ y }. \\[1 em]yy+y\cdot\frac{6}{y} &= y\cdot(-7)&& \text{cancel out the denominators} \\[1 em]y^2+6 &= -7y&& \text{move all terms to the left hand side } \\[1 em]y^2+6+7y &= 0&& \text{simplify left side} \\[1 em]y^2+7y+6 &= 0&& \\[1 em] \end{aligned} $$
$ x^{2}+7x+6 = 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