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Simplifying h2 + 6h = 520 Reorder the terms: 6h + h2 = 520 Solving 6h + h2 = 520 Solving for variable 'h'. Reorder the terms: -520 + 6h + h2 = 520 + -520 Combine like terms: 520 + -520 = 0 -520 + 6h + h2 = 0 Factor a trinomial. (-26 + -1h)(20 + -1h) = 0Subproblem 1
Set the factor '(-26 + -1h)' equal to zero and attempt to solve: Simplifying -26 + -1h = 0 Solving -26 + -1h = 0 Move all terms containing h to the left, all other terms to the right. Add '26' to each side of the equation. -26 + 26 + -1h = 0 + 26 Combine like terms: -26 + 26 = 0 0 + -1h = 0 + 26 -1h = 0 + 26 Combine like terms: 0 + 26 = 26 -1h = 26 Divide each side by '-1'. h = -26 Simplifying h = -26Subproblem 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 = {-26, 20}
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