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Simplifying -215h = -15h2 + -70 Reorder the terms: -215h = -70 + -15h2 Solving -215h = -70 + -15h2 Solving for variable 'h'. Reorder the terms: 70 + -215h + 15h2 = -70 + -15h2 + 70 + 15h2 Reorder the terms: 70 + -215h + 15h2 = -70 + 70 + -15h2 + 15h2 Combine like terms: -70 + 70 = 0 70 + -215h + 15h2 = 0 + -15h2 + 15h2 70 + -215h + 15h2 = -15h2 + 15h2 Combine like terms: -15h2 + 15h2 = 0 70 + -215h + 15h2 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(14 + -43h + 3h2) = 0 Factor a trinomial. 5((1 + -3h)(14 + -1h)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(1 + -3h)' equal to zero and attempt to solve: Simplifying 1 + -3h = 0 Solving 1 + -3h = 0 Move all terms containing h to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -3h = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3h = 0 + -1 -3h = 0 + -1 Combine like terms: 0 + -1 = -1 -3h = -1 Divide each side by '-3'. h = 0.3333333333 Simplifying h = 0.3333333333Subproblem 2
Set the factor '(14 + -1h)' equal to zero and attempt to solve: Simplifying 14 + -1h = 0 Solving 14 + -1h = 0 Move all terms containing h to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -1h = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -1h = 0 + -14 -1h = 0 + -14 Combine like terms: 0 + -14 = -14 -1h = -14 Divide each side by '-1'. h = 14 Simplifying h = 14Solution
h = {0.3333333333, 14}
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