15h^2-30h+8=2h-8

Solution for 15h^2-30h+8=2h-8 equation:

15h^2-30h+8=2h-8

We move all terms to the left:

15h^2-30h+8-(2h-8)=0

We get rid of parentheses

15h^2-30h-2h+8+8=0

We add all the numbers together, and all the variables

15h^2-32h+16=0

a = 15; b = -32; c = +16;
Δ = b2-4ac
Δ = -322-4·15·16
Δ = 64
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$h_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$h_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{64}=8$
$h_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-32)-8}{2*15}=\frac{24}{30}
=4/5
$
$h_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-32)+8}{2*15}=\frac{40}{30}
=1+1/3
$