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Simplifying 6h2 + -5h = 56 Reorder the terms: -5h + 6h2 = 56 Solving -5h + 6h2 = 56 Solving for variable 'h'. Reorder the terms: -56 + -5h + 6h2 = 56 + -56 Combine like terms: 56 + -56 = 0 -56 + -5h + 6h2 = 0 Factor a trinomial. (-8 + -3h)(7 + -2h) = 0Subproblem 1
Set the factor '(-8 + -3h)' equal to zero and attempt to solve: Simplifying -8 + -3h = 0 Solving -8 + -3h = 0 Move all terms containing h to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -3h = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -3h = 0 + 8 -3h = 0 + 8 Combine like terms: 0 + 8 = 8 -3h = 8 Divide each side by '-3'. h = -2.666666667 Simplifying h = -2.666666667Subproblem 2
Set the factor '(7 + -2h)' equal to zero and attempt to solve: Simplifying 7 + -2h = 0 Solving 7 + -2h = 0 Move all terms containing h to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -2h = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2h = 0 + -7 -2h = 0 + -7 Combine like terms: 0 + -7 = -7 -2h = -7 Divide each side by '-2'. h = 3.5 Simplifying h = 3.5Solution
h = {-2.666666667, 3.5}
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