16h^2+8=16h+5

Solution for 16h^2+8=16h+5 equation:

16h^2+8=16h+5

We move all terms to the left:

16h^2+8-(16h+5)=0

We get rid of parentheses

16h^2-16h-5+8=0

We add all the numbers together, and all the variables

16h^2-16h+3=0

a = 16; b = -16; c = +3;
Δ = b2-4ac
Δ = -162-4·16·3
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{-(-16)-8}{2*16}=\frac{8}{32}
=1/4
$
$h_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-16)+8}{2*16}=\frac{24}{32}
=3/4
$