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Simplifying h2 = 10h + -24 Reorder the terms: h2 = -24 + 10h Solving h2 = -24 + 10h Solving for variable 'h'. Reorder the terms: 24 + -10h + h2 = -24 + 10h + 24 + -10h Reorder the terms: 24 + -10h + h2 = -24 + 24 + 10h + -10h Combine like terms: -24 + 24 = 0 24 + -10h + h2 = 0 + 10h + -10h 24 + -10h + h2 = 10h + -10h Combine like terms: 10h + -10h = 0 24 + -10h + h2 = 0 Factor a trinomial. (4 + -1h)(6 + -1h) = 0Subproblem 1
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 = 4Subproblem 2
Set the factor '(6 + -1h)' equal to zero and attempt to solve: Simplifying 6 + -1h = 0 Solving 6 + -1h = 0 Move all terms containing h to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1h = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1h = 0 + -6 -1h = 0 + -6 Combine like terms: 0 + -6 = -6 -1h = -6 Divide each side by '-1'. h = 6 Simplifying h = 6Solution
h = {4, 6}
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