Answer
We have an equation of the form $|f(x)|=g(x)$.
(involving absolute value)
By definition of the absolute value $\ \ \left|A\right|=\left\{\begin{array}{lll}
A, & if & A\geq 0\\
-A & if & A\lt 0
\end{array}\right.$
The equation transforms into two equations without absolute values,
$\left\{\begin{array}{llll}
(i) & f(x)=g(x) & for & f(x)\geq 0\\
& & & \\
(ii) & f(x)=-g(x) & for & f(x) \lt 0
\end{array}\right.$
Having eliminated the absolute value brackets,
we can now proceed to solve each of the two resulting equations.
Work Step by Step
Given above.
