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Simplifying h2 + 2h = 80 Reorder the terms: 2h + h2 = 80 Solving 2h + h2 = 80 Solving for variable 'h'. Reorder the terms: -80 + 2h + h2 = 80 + -80 Combine like terms: 80 + -80 = 0 -80 + 2h + h2 = 0 Factor a trinomial. (-10 + -1h)(8 + -1h) = 0Subproblem 1
Set the factor '(-10 + -1h)' equal to zero and attempt to solve: Simplifying -10 + -1h = 0 Solving -10 + -1h = 0 Move all terms containing h to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -1h = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -1h = 0 + 10 -1h = 0 + 10 Combine like terms: 0 + 10 = 10 -1h = 10 Divide each side by '-1'. h = -10 Simplifying h = -10Subproblem 2
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 = 8Solution
h = {-10, 8}
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