# How do you solve 5p^2-15p=0?

Sep 11, 2016

$p = 0 , 3$

#### Explanation:

We have: $5 {p}^{2} - 15 p = 0$

Let's factorise the equation:

$\implies 5 p \left(p - 3\right) = 0$

As we now have a product that is equal to zero, either one of the multiples must be equal to zero:

$\implies 5 p = 0$

$\implies p = 0$

or

$\implies p - 3 = 0$

$\implies p = 3$

Therefore, the solutions to the equation are $p = 0$ and $p = 3$.

Sep 11, 2016

5p²-15p=0
$5 p \left(p - 3\right) = 0$
$5 p = 0 , p - 3 = 0$
$p = \frac{0}{5} , p = 0 + 3$
$p = 0 , p = 3$
$S . S \left\{0 \mathmr{and} 3\right\}$