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Simplifying 12h2 + -31h + 20 = 0 Reorder the terms: 20 + -31h + 12h2 = 0 Solving 20 + -31h + 12h2 = 0 Solving for variable 'h'. Factor a trinomial. (5 + -4h)(4 + -3h) = 0Subproblem 1
Set the factor '(5 + -4h)' equal to zero and attempt to solve: Simplifying 5 + -4h = 0 Solving 5 + -4h = 0 Move all terms containing h to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -4h = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4h = 0 + -5 -4h = 0 + -5 Combine like terms: 0 + -5 = -5 -4h = -5 Divide each side by '-4'. h = 1.25 Simplifying h = 1.25Subproblem 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 = {1.25, 1.333333333}
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