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Simplifying 12h2 + 8h + -15 = 0 Reorder the terms: -15 + 8h + 12h2 = 0 Solving -15 + 8h + 12h2 = 0 Solving for variable 'h'. Factor a trinomial. (-3 + -2h)(5 + -6h) = 0Subproblem 1
Set the factor '(-3 + -2h)' equal to zero and attempt to solve: Simplifying -3 + -2h = 0 Solving -3 + -2h = 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 + -2h = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -2h = 0 + 3 -2h = 0 + 3 Combine like terms: 0 + 3 = 3 -2h = 3 Divide each side by '-2'. h = -1.5 Simplifying h = -1.5Subproblem 2
Set the factor '(5 + -6h)' equal to zero and attempt to solve: Simplifying 5 + -6h = 0 Solving 5 + -6h = 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 + -6h = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -6h = 0 + -5 -6h = 0 + -5 Combine like terms: 0 + -5 = -5 -6h = -5 Divide each side by '-6'. h = 0.8333333333 Simplifying h = 0.8333333333Solution
h = {-1.5, 0.8333333333}
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