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Simplifying 2h2 + 8h + 16 = 80 Reorder the terms: 16 + 8h + 2h2 = 80 Solving 16 + 8h + 2h2 = 80 Solving for variable 'h'. Reorder the terms: 16 + -80 + 8h + 2h2 = 80 + -80 Combine like terms: 16 + -80 = -64 -64 + 8h + 2h2 = 80 + -80 Combine like terms: 80 + -80 = 0 -64 + 8h + 2h2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-32 + 4h + h2) = 0 Factor a trinomial. 2((-8 + -1h)(4 + -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 '(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 = 4Solution
h = {-8, 4}
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