0=h^2+37h+36

Solution for 0=h^2+37h+36 equation:

0=h^2+37h+36

We move all terms to the left:

0-(h^2+37h+36)=0

We add all the numbers together, and all the variables

-(h^2+37h+36)=0

We get rid of parentheses

-h^2-37h-36=0

We add all the numbers together, and all the variables

-1h^2-37h-36=0

a = -1; b = -37; c = -36;
Δ = b2-4ac
Δ = -372-4·(-1)·(-36)
Δ = 1225
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$h_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$h_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1225}=35$
$h_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-37)-35}{2*-1}=\frac{2}{-2}
=-1
$
$h_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-37)+35}{2*-1}=\frac{72}{-2}
=-36
$