(h+8)(h-5)=0

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Solution for (h+8)(h-5)=0 equation: 


Simplifying
(h + 8)(h + -5) = 0

Reorder the terms:
(8 + h)(h + -5) = 0

Reorder the terms:
(8 + h)(-5 + h) = 0

Multiply (8 + h) * (-5 + h)
(8(-5 + h) + h(-5 + h)) = 0
((-5 * 8 + h * 8) + h(-5 + h)) = 0
((-40 + 8h) + h(-5 + h)) = 0
(-40 + 8h + (-5 * h + h * h)) = 0
(-40 + 8h + (-5h + h2)) = 0

Combine like terms: 8h + -5h = 3h
(-40 + 3h + h2) = 0

Solving
-40 + 3h + h2 = 0

Solving for variable 'h'.

Factor a trinomial.
(-8 + -1h)(5 + -1h) = 0


Subproblem 1
Set the factor '(-8 + -1h)' equal to zero and attempt to solve:

Simplifying
-8 + -1h = 0

Solving
-8 + -1h = 0

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

Add '8' to each side of the equation.
-8 + 8 + -1h = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -1h = 0 + 8
-1h = 0 + 8

Combine like terms: 0 + 8 = 8
-1h = 8

Divide each side by '-1'.
h = -8

Simplifying
h = -8

Subproblem 2
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
Solution
h = {-8, 5}

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