(5h+8)(h-7)=0

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Solution for (5h+8)(h-7)=0 equation: 


Simplifying
(5h + 8)(h + -7) = 0

Reorder the terms:
(8 + 5h)(h + -7) = 0

Reorder the terms:
(8 + 5h)(-7 + h) = 0

Multiply (8 + 5h) * (-7 + h)
(8(-7 + h) + 5h * (-7 + h)) = 0
((-7 * 8 + h * 8) + 5h * (-7 + h)) = 0
((-56 + 8h) + 5h * (-7 + h)) = 0
(-56 + 8h + (-7 * 5h + h * 5h)) = 0
(-56 + 8h + (-35h + 5h2)) = 0

Combine like terms: 8h + -35h = -27h
(-56 + -27h + 5h2) = 0

Solving
-56 + -27h + 5h2 = 0

Solving for variable 'h'.

Factor a trinomial.
(-8 + -5h)(7 + -1h) = 0


Subproblem 1
Set the factor '(-8 + -5h)' equal to zero and attempt to solve:

Simplifying
-8 + -5h = 0

Solving
-8 + -5h = 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 + -5h = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -5h = 0 + 8
-5h = 0 + 8

Combine like terms: 0 + 8 = 8
-5h = 8

Divide each side by '-5'.
h = -1.6

Simplifying
h = -1.6

Subproblem 2
Set the factor '(7 + -1h)' equal to zero and attempt to solve:

Simplifying
7 + -1h = 0

Solving
7 + -1h = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1h = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1h = 0 + -7
-1h = 0 + -7

Combine like terms: 0 + -7 = -7
-1h = -7

Divide each side by '-1'.
h = 7

Simplifying
h = 7
Solution
h = {-1.6, 7}

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