# How do you solve abs(5-4w )= 3w and find any extraneous solutions?

Jun 22, 2016

$w = \frac{5}{7}$ and $w = 5$
The equation $\left\mid 5 - 4 w \right\mid = 3 w$ is equivalent to the couple of independent equations
{ (5-4w= 3w), (5-4w= -3w) :}
Solving we have $w = \frac{5}{7}$ and $w = 5$