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Simplifying -2h2 + -17h + -30 = 0 Reorder the terms: -30 + -17h + -2h2 = 0 Solving -30 + -17h + -2h2 = 0 Solving for variable 'h'. Factor out the Greatest Common Factor (GCF), '-1'. -1(30 + 17h + 2h2) = 0 Factor a trinomial. -1((6 + h)(5 + 2h)) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(6 + h)' equal to zero and attempt to solve: Simplifying 6 + h = 0 Solving 6 + h = 0 Move all terms containing h to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + h = 0 + -6 Combine like terms: 6 + -6 = 0 0 + h = 0 + -6 h = 0 + -6 Combine like terms: 0 + -6 = -6 h = -6 Simplifying h = -6Subproblem 2
Set the factor '(5 + 2h)' equal to zero and attempt to solve: Simplifying 5 + 2h = 0 Solving 5 + 2h = 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 + 2h = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2h = 0 + -5 2h = 0 + -5 Combine like terms: 0 + -5 = -5 2h = -5 Divide each side by '2'. h = -2.5 Simplifying h = -2.5Solution
h = {-6, -2.5}
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