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Simplifying 6h2 + 10h + -56 = 0 Reorder the terms: -56 + 10h + 6h2 = 0 Solving -56 + 10h + 6h2 = 0 Solving for variable 'h'. Factor out the Greatest Common Factor (GCF), '2'. 2(-28 + 5h + 3h2) = 0 Factor a trinomial. 2((-4 + -1h)(7 + -3h)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-4 + -1h)' equal to zero and attempt to solve: Simplifying -4 + -1h = 0 Solving -4 + -1h = 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 + -1h = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1h = 0 + 4 -1h = 0 + 4 Combine like terms: 0 + 4 = 4 -1h = 4 Divide each side by '-1'. h = -4 Simplifying h = -4Subproblem 2
Set the factor '(7 + -3h)' equal to zero and attempt to solve: Simplifying 7 + -3h = 0 Solving 7 + -3h = 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 + -3h = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -3h = 0 + -7 -3h = 0 + -7 Combine like terms: 0 + -7 = -7 -3h = -7 Divide each side by '-3'. h = 2.333333333 Simplifying h = 2.333333333Solution
h = {-4, 2.333333333}
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