9h^2+48h+64=0

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Solution for 9h^2+48h+64=0 equation: 


Simplifying
9h2 + 48h + 64 = 0

Reorder the terms:
64 + 48h + 9h2 = 0

Solving
64 + 48h + 9h2 = 0

Solving for variable 'h'.

Factor a trinomial.
(8 + 3h)(8 + 3h) = 0


Subproblem 1
Set the factor '(8 + 3h)' equal to zero and attempt to solve:

Simplifying
8 + 3h = 0

Solving
8 + 3h = 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 + 3h = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 3h = 0 + -8
3h = 0 + -8

Combine like terms: 0 + -8 = -8
3h = -8

Divide each side by '3'.
h = -2.666666667

Simplifying
h = -2.666666667

Subproblem 2
Set the factor '(8 + 3h)' equal to zero and attempt to solve:

Simplifying
8 + 3h = 0

Solving
8 + 3h = 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 + 3h = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 3h = 0 + -8
3h = 0 + -8

Combine like terms: 0 + -8 = -8
3h = -8

Divide each side by '3'.
h = -2.666666667

Simplifying
h = -2.666666667
Solution
h = {-2.666666667, -2.666666667}

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