# How do you solve 10x^2-15x=0 using any method?

Aug 24, 2017

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

#### Explanation:

First, let's factor out like terms. In this equation, $5 x$ is common between the two terms on the left.

$10 {x}^{2} - 15 x = 0 \to$

$5 x \left(2 x - 3\right) = 0$

Now that you got it factored, you need to set $5 x = 0$ and $2 x - 3 = 0$. Note that $5 x$ snd $2 x - 3$ give you your zeroes for this equation.

$5 x = 0 \to$

$x = 0$ Here is our first value for x.

$2 x - 3 = 0 \to$

$x = \frac{3}{2}$ Here is our second value for x.