3h^2=5h+12

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Solution for 3h^2=5h+12 equation:


Simplifying
3h2 = 5h + 12

Reorder the terms:
3h2 = 12 + 5h

Solving
3h2 = 12 + 5h

Solving for variable 'h'.

Reorder the terms:
-12 + -5h + 3h2 = 12 + 5h + -12 + -5h

Reorder the terms:
-12 + -5h + 3h2 = 12 + -12 + 5h + -5h

Combine like terms: 12 + -12 = 0
-12 + -5h + 3h2 = 0 + 5h + -5h
-12 + -5h + 3h2 = 5h + -5h

Combine like terms: 5h + -5h = 0
-12 + -5h + 3h2 = 0

Factor a trinomial.
(-4 + -3h)(3 + -1h) = 0

Subproblem 1

Set the factor '(-4 + -3h)' equal to zero and attempt to solve: Simplifying -4 + -3h = 0 Solving -4 + -3h = 0 Move all terms containing h to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -3h = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -3h = 0 + 4 -3h = 0 + 4 Combine like terms: 0 + 4 = 4 -3h = 4 Divide each side by '-3'. h = -1.333333333 Simplifying h = -1.333333333

Subproblem 2

Set the factor '(3 + -1h)' equal to zero and attempt to solve: Simplifying 3 + -1h = 0 Solving 3 + -1h = 0 Move all terms containing h to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1h = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1h = 0 + -3 -1h = 0 + -3 Combine like terms: 0 + -3 = -3 -1h = -3 Divide each side by '-1'. h = 3 Simplifying h = 3

Solution

h = {-1.333333333, 3}

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