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Simplifying h2 + -17h + -60 = 0 Reorder the terms: -60 + -17h + h2 = 0 Solving -60 + -17h + h2 = 0 Solving for variable 'h'. Factor a trinomial. (-3 + -1h)(20 + -1h) = 0Subproblem 1
Set the factor '(-3 + -1h)' equal to zero and attempt to solve: Simplifying -3 + -1h = 0 Solving -3 + -1h = 0 Move all terms containing h to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -1h = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1h = 0 + 3 -1h = 0 + 3 Combine like terms: 0 + 3 = 3 -1h = 3 Divide each side by '-1'. h = -3 Simplifying h = -3Subproblem 2
Set the factor '(20 + -1h)' equal to zero and attempt to solve: Simplifying 20 + -1h = 0 Solving 20 + -1h = 0 Move all terms containing h to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -1h = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -1h = 0 + -20 -1h = 0 + -20 Combine like terms: 0 + -20 = -20 -1h = -20 Divide each side by '-1'. h = 20 Simplifying h = 20Solution
h = {-3, 20}
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