4h^2+8h=2

Solution for 4h^2+8h=2 equation:

4h^2+8h=2

We move all terms to the left:

4h^2+8h-(2)=0

a = 4; b = 8; c = -2;
Δ = b2-4ac
Δ = 82-4·4·(-2)
Δ = 96
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$h_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$h_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{96}=\sqrt{16*6}=\sqrt{16}*\sqrt{6}=4\sqrt{6}$
$h_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(8)-4\sqrt{6}}{2*4}=\frac{-8-4\sqrt{6}}{8}
$
$h_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(8)+4\sqrt{6}}{2*4}=\frac{-8+4\sqrt{6}}{8}
$