# How do you solve the equation: 6h^2=3h?

Jun 27, 2015

There are two solution: $h = 0 , \frac{1}{2}$

#### Explanation:

$6 {h}^{2} = 3 h$

It may be tempting to divide by $3 h$ ot by $h$, but do not divide by an expression involving the variable. (That's the simplest policy to adopt.)

Instead of dividing, collect the terms on one side and factor:

$6 {h}^{2} = 3 h$

$6 {h}^{2} - 3 h = 0$

$3 h \left(2 h - 1\right) = 0$

So we need:

$3 h = 0$ $\textcolor{w h i t e}{\text{xx}}$ or $\textcolor{w h i t e}{\text{xx}}$$2 h - 1 = 0$

So, we get:
$h = 0$ $\textcolor{w h i t e}{\text{xx}}$ or $\textcolor{w h i t e}{\text{xx}}$$h = \frac{1}{2}$