How do you solve abs(-g) = -5g +2?

Mar 12, 2017

$g = \frac{1}{2}$
$g = \frac{1}{3}$

Explanation:

There are two scenarios of this problem:
If |-g|=-g:
$- g = - 5 g + 2$
$4 g = 2$
$g = \frac{1}{2}$

If |-g|=g:
$g = - 5 g + 2$
$6 g = 2$
$g = \frac{1}{3}$

Note: if g=0, then the equation is false as $0 \cancel{=} 2$