# How do you solve -3|p|=12?

May 20, 2018

Dividing by $- 3$ we get $| p | = - 4$ since $| p | \ge 0$ so we have no solutions.

#### Explanation:

We need that $| x | = x$ if $x \ge 0$ and $| x | = - x$ if $x < 0$

May 20, 2018

There is a problem with this!

See the alternative

#### Explanation:

The $| p |$ always ends up positive. No matter what value $p$ takes. Thus we have $\left(- 3\right)$ multiplied by some positive value. The consequence of this is that the left side will always be negative.

We can not have: $\text{NEGATIVE = POSITIVE}$
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$\textcolor{b l u e}{\text{ HOWEVER }}$

If the question was meant to be:

$- 3 | p | = - 12$ it will work

Divide both sides by (-3)

$| p | = \frac{- 12}{- 3} = + 4$

$| \pm 4 | = 4$

$p = \pm 4$