Answer
The solutions are $t=12$ and $t=-12$.
The graph is shown below.
Work Step by Step
The given equation is
$\Rightarrow |\frac{t}{2}|=6$
Write related linear equations.
$\Rightarrow \frac{t}{2}=6$ or $\frac{t}{2}=-6$
Divide each side by $-3$.
$\Rightarrow 2\cdot \frac{t}{2}=2\cdot 6$ or $2\cdot \frac{t}{2}=2\cdot (-6)$
Simplify.
$\Rightarrow t=12$ or $t=-12$
The solutions are $t=12$ and $t=-12$.
