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Simplifying 2h2 + 10h + -408 = 0 Reorder the terms: -408 + 10h + 2h2 = 0 Solving -408 + 10h + 2h2 = 0 Solving for variable 'h'. Factor out the Greatest Common Factor (GCF), '2'. 2(-204 + 5h + h2) = 0 Factor a trinomial. 2((-17 + -1h)(12 + -1h)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-17 + -1h)' equal to zero and attempt to solve: Simplifying -17 + -1h = 0 Solving -17 + -1h = 0 Move all terms containing h to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + -1h = 0 + 17 Combine like terms: -17 + 17 = 0 0 + -1h = 0 + 17 -1h = 0 + 17 Combine like terms: 0 + 17 = 17 -1h = 17 Divide each side by '-1'. h = -17 Simplifying h = -17Subproblem 2
Set the factor '(12 + -1h)' equal to zero and attempt to solve: Simplifying 12 + -1h = 0 Solving 12 + -1h = 0 Move all terms containing h to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1h = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1h = 0 + -12 -1h = 0 + -12 Combine like terms: 0 + -12 = -12 -1h = -12 Divide each side by '-1'. h = 12 Simplifying h = 12Solution
h = {-17, 12}
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