4h^2+24h+20=

Solution for 4h^2+24h+20= equation:

Simplifying
4h2 + 24h + 20 = 0

Reorder the terms:
20 + 24h + 4h2 = 0

Solving
20 + 24h + 4h2 = 0

Solving for variable 'h'.

Factor out the Greatest Common Factor (GCF), '4'.
4(5 + 6h + h2) = 0

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

Ignore the factor 4.
Subproblem 1
Set the factor '(5 + h)' equal to zero and attempt to solve:

Simplifying
5 + h = 0

Solving
5 + h = 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 + h = 0 + -5

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

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

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

Simplifying
1 + h = 0

Solving
1 + h = 0

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

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

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

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

Simplifying
h = -1
Solution
h = {-5, -1}