(9h+8)(5h-2)=

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Solution for (9h+8)(5h-2)= equation: 


Simplifying
(9h + 8)(5h + -2) = 0

Reorder the terms:
(8 + 9h)(5h + -2) = 0

Reorder the terms:
(8 + 9h)(-2 + 5h) = 0

Multiply (8 + 9h) * (-2 + 5h)
(8(-2 + 5h) + 9h * (-2 + 5h)) = 0
((-2 * 8 + 5h * 8) + 9h * (-2 + 5h)) = 0
((-16 + 40h) + 9h * (-2 + 5h)) = 0
(-16 + 40h + (-2 * 9h + 5h * 9h)) = 0
(-16 + 40h + (-18h + 45h2)) = 0

Combine like terms: 40h + -18h = 22h
(-16 + 22h + 45h2) = 0

Solving
-16 + 22h + 45h2 = 0

Solving for variable 'h'.

Factor a trinomial.
(-8 + -9h)(2 + -5h) = 0


Subproblem 1
Set the factor '(-8 + -9h)' equal to zero and attempt to solve:

Simplifying
-8 + -9h = 0

Solving
-8 + -9h = 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 + -9h = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -9h = 0 + 8
-9h = 0 + 8

Combine like terms: 0 + 8 = 8
-9h = 8

Divide each side by '-9'.
h = -0.8888888889

Simplifying
h = -0.8888888889

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

Simplifying
2 + -5h = 0

Solving
2 + -5h = 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 + -5h = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -5h = 0 + -2
-5h = 0 + -2

Combine like terms: 0 + -2 = -2
-5h = -2

Divide each side by '-5'.
h = 0.4

Simplifying
h = 0.4
Solution
h = {-0.8888888889, 0.4}

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