h^2+h=20

Solution for h^2+h=20 equation:

Simplifying
h2 + h = 20

Reorder the terms:
h + h2 = 20

Solving
h + h2 = 20

Solving for variable 'h'.

Reorder the terms:
-20 + h + h2 = 20 + -20

Combine like terms: 20 + -20 = 0
-20 + h + h2 = 0

Factor a trinomial.
(-5 + -1h)(4 + -1h) = 0

Subproblem 1
Set the factor '(-5 + -1h)' equal to zero and attempt to solve:

Simplifying
-5 + -1h = 0

Solving
-5 + -1h = 0

Move all terms containing h to the left, all other terms to the right.

Add '5' to each side of the equation.
-5 + 5 + -1h = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -1h = 0 + 5
-1h = 0 + 5

Combine like terms: 0 + 5 = 5
-1h = 5

Divide each side by '-1'.
h = -5

Simplifying
h = -5
Subproblem 2
Set the factor '(4 + -1h)' equal to zero and attempt to solve:

Simplifying
4 + -1h = 0

Solving
4 + -1h = 0

Move all terms containing h to the left, all other terms to the right.

Add '-4' to each side of the equation.
4 + -4 + -1h = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1h = 0 + -4
-1h = 0 + -4

Combine like terms: 0 + -4 = -4
-1h = -4

Divide each side by '-1'.
h = 4

Simplifying
h = 4
Solution
h = {-5, 4}