# How do you solve 2n(3n+3)=0?

Feb 27, 2017

$n = - 1 \mathmr{and} n = 0$

#### Explanation:

$2 n \left(3 n + 3\right) = 0$ => in factored form use:
Zero Product Property
If $a b = 0$, then either $a = 0$ or $b = 0$, or both $a$ & $b$ are $0$:
therefore:
$2 n = 0$
$n = 0$
Or:
$3 n + 3 = 0$
$3 n = - 3$
$n = - 1$

Feb 27, 2017

$n = 0 \text{ or } n = - 1$

#### Explanation:

When we have a $\textcolor{b l u e}{\text{product of factors equal to zero}}$

$\text{That is "axxb=0" then}$

• a = 0 or b = 0 or both a and b equal zero.

$\Rightarrow 2 n \left(3 n + 3\right) = 0$

•"solve "2n=0rArrn=0

•"solve "3n+3=0

subtract 3 from both sides.

$3 n \cancel{+ 3} \cancel{- 3} = 0 - 3$

$\Rightarrow 3 n = - 3$

divide both sides by 3

$\frac{\cancel{3} n}{\cancel{3}} = \frac{- 3}{3}$

$\Rightarrow n = - 1$

$\Rightarrow n = 0 \text{ or "n=-1" are the solutions}$