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Simplifying 0 = 3h2 + 4h + -224 Reorder the terms: 0 = -224 + 4h + 3h2 Solving 0 = -224 + 4h + 3h2 Solving for variable 'h'. Combine like terms: 0 + 224 = 224 224 + -4h + -3h2 = -224 + 4h + 3h2 + 224 + -4h + -3h2 Reorder the terms: 224 + -4h + -3h2 = -224 + 224 + 4h + -4h + 3h2 + -3h2 Combine like terms: -224 + 224 = 0 224 + -4h + -3h2 = 0 + 4h + -4h + 3h2 + -3h2 224 + -4h + -3h2 = 4h + -4h + 3h2 + -3h2 Combine like terms: 4h + -4h = 0 224 + -4h + -3h2 = 0 + 3h2 + -3h2 224 + -4h + -3h2 = 3h2 + -3h2 Combine like terms: 3h2 + -3h2 = 0 224 + -4h + -3h2 = 0 Factor a trinomial. (8 + -1h)(28 + 3h) = 0Subproblem 1
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 = 8Subproblem 2
Set the factor '(28 + 3h)' equal to zero and attempt to solve: Simplifying 28 + 3h = 0 Solving 28 + 3h = 0 Move all terms containing h to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + 3h = 0 + -28 Combine like terms: 28 + -28 = 0 0 + 3h = 0 + -28 3h = 0 + -28 Combine like terms: 0 + -28 = -28 3h = -28 Divide each side by '3'. h = -9.333333333 Simplifying h = -9.333333333Solution
h = {8, -9.333333333}
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