## Intermediate Algebra for College Students (7th Edition)

$x=-1$ or $x=-6$.
LCD$=x$, thus multiplying both sides by the LCD: $x(x+\frac{6}{x})=x(-7)\\x^2+7x+6=0\\x^2+x+6x+6=0\\x(x+1)+6(x+1)=0\\(x+1)(x+6)=0$ Thus $x=-1$ or $x=-6$.