576=8h^2+24h+16

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Solution for 576=8h^2+24h+16 equation: 


Simplifying
576 = 8h2 + 24h + 16

Reorder the terms:
576 = 16 + 24h + 8h2

Solving
576 = 16 + 24h + 8h2

Solving for variable 'h'.

Combine like terms: 576 + -16 = 560
560 + -24h + -8h2 = 16 + 24h + 8h2 + -16 + -24h + -8h2

Reorder the terms:
560 + -24h + -8h2 = 16 + -16 + 24h + -24h + 8h2 + -8h2

Combine like terms: 16 + -16 = 0
560 + -24h + -8h2 = 0 + 24h + -24h + 8h2 + -8h2
560 + -24h + -8h2 = 24h + -24h + 8h2 + -8h2

Combine like terms: 24h + -24h = 0
560 + -24h + -8h2 = 0 + 8h2 + -8h2
560 + -24h + -8h2 = 8h2 + -8h2

Combine like terms: 8h2 + -8h2 = 0
560 + -24h + -8h2 = 0

Factor out the Greatest Common Factor (GCF), '8'.
8(70 + -3h + -1h2) = 0

Factor a trinomial.
8((7 + -1h)(10 + h)) = 0

Ignore the factor 8.

Subproblem 1
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

Subproblem 2
Set the factor '(10 + h)' equal to zero and attempt to solve:

Simplifying
10 + h = 0

Solving
10 + h = 0

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

Add '-10' to each side of the equation.
10 + -10 + h = 0 + -10

Combine like terms: 10 + -10 = 0
0 + h = 0 + -10
h = 0 + -10

Combine like terms: 0 + -10 = -10
h = -10

Simplifying
h = -10
Solution
h = {7, -10}

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