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Simplifying 3h2 + 5h + -12 = 0 Reorder the terms: -12 + 5h + 3h2 = 0 Solving -12 + 5h + 3h2 = 0 Solving for variable 'h'. Factor a trinomial. (-3 + -1h)(4 + -3h) = 0Subproblem 1
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 = -3Subproblem 2
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 = 1.333333333Solution
h = {-3, 1.333333333}
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