h^2+4h-221=0

Solution for h^2+4h-221=0 equation:

Simplifying
h2 + 4h + -221 = 0

Reorder the terms:
-221 + 4h + h2 = 0

Solving
-221 + 4h + h2 = 0

Solving for variable 'h'.

Factor a trinomial.
(-17 + -1h)(13 + -1h) = 0

Subproblem 1
Set the factor '(-17 + -1h)' equal to zero and attempt to solve:

Simplifying
-17 + -1h = 0

Solving
-17 + -1h = 0

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

Add '17' to each side of the equation.
-17 + 17 + -1h = 0 + 17

Combine like terms: -17 + 17 = 0
0 + -1h = 0 + 17
-1h = 0 + 17

Combine like terms: 0 + 17 = 17
-1h = 17

Divide each side by '-1'.
h = -17

Simplifying
h = -17
Subproblem 2
Set the factor '(13 + -1h)' equal to zero and attempt to solve:

Simplifying
13 + -1h = 0

Solving
13 + -1h = 0

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

Add '-13' to each side of the equation.
13 + -13 + -1h = 0 + -13

Combine like terms: 13 + -13 = 0
0 + -1h = 0 + -13
-1h = 0 + -13

Combine like terms: 0 + -13 = -13
-1h = -13

Divide each side by '-1'.
h = 13

Simplifying
h = 13
Solution
h = {-17, 13}