Answer
$x=-12$ and $x=1$.
Work Step by Step
The given equation is
$\Rightarrow x^2+11x-12=0$
The equation is easily factorable. So, solve by factoring.
$\Rightarrow x^2+11x-12=0$
Rewrite $11x$ as $12x-1x$.
$\Rightarrow x^2+12x-1x-12=0$
Group the terms.
$\Rightarrow (x^2+12x)+(-1x-12)=0$
Factor each group.
$\Rightarrow x(x+12)-1(x+12)=0$
Factor out $(x+12)$.
$\Rightarrow (x+12)(x-1)=0$
Use zero-product property.
$\Rightarrow x+12=0$ or $x-1=0$
Solve for $x$.
$\Rightarrow x=-12$ or $x=1$
Hence, the solutions are $x=-12$ and $x=1$.
