h(h-5)=-4

Solution for h(h-5)=-4 equation:

Simplifying
h(h + -5) = -4

Reorder the terms:
h(-5 + h) = -4
(-5 * h + h * h) = -4
(-5h + h2) = -4

Solving
-5h + h2 = -4

Solving for variable 'h'.

Reorder the terms:
4 + -5h + h2 = -4 + 4

Combine like terms: -4 + 4 = 0
4 + -5h + h2 = 0

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

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

Simplifying
1 + -1h = 0

Solving
1 + -1h = 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 + -1h = 0 + -1

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

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

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

Simplifying
h = 1
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 = {1, 4}