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

Question

1336 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-08-28T02:45:11

When one has the form,

$|f(x)| = C$

then one writes two equations

$f(x) = C$ and $f(x) = -C$

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

Given: $|2/3x+2|=0$

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

$2/3x+2 = 0$

Solve for x:

$2/3x = -2$

$x = -3$

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