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Simplifying 2h2 + -19h + 24 = 0 Reorder the terms: 24 + -19h + 2h2 = 0 Solving 24 + -19h + 2h2 = 0 Solving for variable 'h'. Factor a trinomial. (3 + -2h)(8 + -1h) = 0Subproblem 1
Set the factor '(3 + -2h)' equal to zero and attempt to solve: Simplifying 3 + -2h = 0 Solving 3 + -2h = 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 + -2h = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2h = 0 + -3 -2h = 0 + -3 Combine like terms: 0 + -3 = -3 -2h = -3 Divide each side by '-2'. h = 1.5 Simplifying h = 1.5Subproblem 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 = {1.5, 8}
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