6h^2-5h-56=0

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Solution for 6h^2-5h-56=0 equation: 


Simplifying
6h2 + -5h + -56 = 0

Reorder the terms:
-56 + -5h + 6h2 = 0

Solving
-56 + -5h + 6h2 = 0

Solving for variable 'h'.

Factor a trinomial.
(-8 + -3h)(7 + -2h) = 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 '(7 + -2h)' equal to zero and attempt to solve:

Simplifying
7 + -2h = 0

Solving
7 + -2h = 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 + -2h = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -2h = 0 + -7
-2h = 0 + -7

Combine like terms: 0 + -7 = -7
-2h = -7

Divide each side by '-2'.
h = 3.5

Simplifying
h = 3.5
Solution
h = {-2.666666667, 3.5}

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