15h=8h^2-2h

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

15h=8h^2-2h

We move all terms to the left:

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

We get rid of parentheses

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

We add all the numbers together, and all the variables

-8h^2+17h=0

a = -8; b = 17; c = 0;
Δ = b2-4ac
Δ = 172-4·(-8)·0
Δ = 289
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$h_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$h_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{289}=17$
$h_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(17)-17}{2*-8}=\frac{-34}{-16}
=2+1/8
$
$h_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(17)+17}{2*-8}=\frac{0}{-16}
=0
$