# How do you solve 3h^2 - 10h +8=0?

Jun 24, 2015

color(green)( h=2 , h=4/3

#### Explanation:

$3 {h}^{2} - 10 h + 8 = 0$
We can first factorise this expression and then proceed towards finding the solution:

factorising by : splitting the middle term
$3 {h}^{2} \textcolor{b l u e}{- 10 h} + 8 = 0$
$3 {h}^{2} \textcolor{b l u e}{- 6 h - 4 h} + 8 = 0$
$3 h \left(h - 2\right) - 4 \left(h - 2\right) = 0$
$\textcolor{g r e e n}{\left(h - 2\right) \left(3 h - 4\right)} = 0$

Equating the factors with zero to obtain solutions:
$h - 2 = 0$ and $3 h - 4 = 0$

So, the solutions are:
color(green)( h=2 , h=4/3