0=3h^2+44h-6279

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Solution for 0=3h^2+44h-6279 equation:


Simplifying
0 = 3h2 + 44h + -6279

Reorder the terms:
0 = -6279 + 44h + 3h2

Solving
0 = -6279 + 44h + 3h2

Solving for variable 'h'.

Combine like terms: 0 + 6279 = 6279
6279 + -44h + -3h2 = -6279 + 44h + 3h2 + 6279 + -44h + -3h2

Reorder the terms:
6279 + -44h + -3h2 = -6279 + 6279 + 44h + -44h + 3h2 + -3h2

Combine like terms: -6279 + 6279 = 0
6279 + -44h + -3h2 = 0 + 44h + -44h + 3h2 + -3h2
6279 + -44h + -3h2 = 44h + -44h + 3h2 + -3h2

Combine like terms: 44h + -44h = 0
6279 + -44h + -3h2 = 0 + 3h2 + -3h2
6279 + -44h + -3h2 = 3h2 + -3h2

Combine like terms: 3h2 + -3h2 = 0
6279 + -44h + -3h2 = 0

Factor a trinomial.
(39 + -1h)(161 + 3h) = 0

Subproblem 1

Set the factor '(39 + -1h)' equal to zero and attempt to solve: Simplifying 39 + -1h = 0 Solving 39 + -1h = 0 Move all terms containing h to the left, all other terms to the right. Add '-39' to each side of the equation. 39 + -39 + -1h = 0 + -39 Combine like terms: 39 + -39 = 0 0 + -1h = 0 + -39 -1h = 0 + -39 Combine like terms: 0 + -39 = -39 -1h = -39 Divide each side by '-1'. h = 39 Simplifying h = 39

Subproblem 2

Set the factor '(161 + 3h)' equal to zero and attempt to solve: Simplifying 161 + 3h = 0 Solving 161 + 3h = 0 Move all terms containing h to the left, all other terms to the right. Add '-161' to each side of the equation. 161 + -161 + 3h = 0 + -161 Combine like terms: 161 + -161 = 0 0 + 3h = 0 + -161 3h = 0 + -161 Combine like terms: 0 + -161 = -161 3h = -161 Divide each side by '3'. h = -53.66666667 Simplifying h = -53.66666667

Solution

h = {39, -53.66666667}

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