# How do you solve the equation abs(2/3x+2)=0?

Aug 28, 2017

When one has the form,

$| f \left(x\right) | = C$

then one writes two equations

$f \left(x\right) = C$ and $f \left(x\right) = - C$

and then solves both equations for x. But, when C = 0, there is only 1 equation, because $0 = - 0$

#### Explanation:

Given: $| \frac{2}{3} x + 2 | = 0$

The special case of C = 0 applies, therefore, we write only 1 equation:

$\frac{2}{3} x + 2 = 0$

Solve for x:

$\frac{2}{3} x = - 2$

$x = - 3$