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Simplifying -80 + 2h2 + 6h = 0 Reorder the terms: -80 + 6h + 2h2 = 0 Solving -80 + 6h + 2h2 = 0 Solving for variable 'h'. Factor out the Greatest Common Factor (GCF), '2'. 2(-40 + 3h + h2) = 0 Factor a trinomial. 2((-8 + -1h)(5 + -1h)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-8 + -1h)' equal to zero and attempt to solve: Simplifying -8 + -1h = 0 Solving -8 + -1h = 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 + -1h = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1h = 0 + 8 -1h = 0 + 8 Combine like terms: 0 + 8 = 8 -1h = 8 Divide each side by '-1'. h = -8 Simplifying h = -8Subproblem 2
Set the factor '(5 + -1h)' equal to zero and attempt to solve: Simplifying 5 + -1h = 0 Solving 5 + -1h = 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 + -1h = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1h = 0 + -5 -1h = 0 + -5 Combine like terms: 0 + -5 = -5 -1h = -5 Divide each side by '-1'. h = 5 Simplifying h = 5Solution
h = {-8, 5}
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