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

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Answer 1 · 2017-03-12T23:46:24

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

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

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

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

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