4=-h^2-4h

Solution for 4=-h^2-4h equation:

Simplifying
4 = -1h2 + -4h

Reorder the terms:
4 = -4h + -1h2

Solving
4 = -4h + -1h2

Solving for variable 'h'.

Reorder the terms:
4 + 4h + h2 = -4h + 4h + -1h2 + h2

Combine like terms: -4h + 4h = 0
4 + 4h + h2 = 0 + -1h2 + h2
4 + 4h + h2 = -1h2 + h2

Combine like terms: -1h2 + h2 = 0
4 + 4h + h2 = 0

Factor a trinomial.
(2 + h)(2 + h) = 0

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

Simplifying
2 + h = 0

Solving
2 + h = 0

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

Add '-2' to each side of the equation.
2 + -2 + h = 0 + -2

Combine like terms: 2 + -2 = 0
0 + h = 0 + -2
h = 0 + -2

Combine like terms: 0 + -2 = -2
h = -2

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

Simplifying
2 + h = 0

Solving
2 + h = 0

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

Add '-2' to each side of the equation.
2 + -2 + h = 0 + -2

Combine like terms: 2 + -2 = 0
0 + h = 0 + -2
h = 0 + -2

Combine like terms: 0 + -2 = -2
h = -2

Simplifying
h = -2
Solution
h = {-2, -2}