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Simplifying h2 + 11h + -60 = 0 Reorder the terms: -60 + 11h + h2 = 0 Solving -60 + 11h + h2 = 0 Solving for variable 'h'. Factor a trinomial. (-15 + -1h)(4 + -1h) = 0Subproblem 1
Set the factor '(-15 + -1h)' equal to zero and attempt to solve: Simplifying -15 + -1h = 0 Solving -15 + -1h = 0 Move all terms containing h to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + -1h = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -1h = 0 + 15 -1h = 0 + 15 Combine like terms: 0 + 15 = 15 -1h = 15 Divide each side by '-1'. h = -15 Simplifying h = -15Subproblem 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 = {-15, 4}
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