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Simplifying 3h2 + 4h + -224 = 0 Reorder the terms: -224 + 4h + 3h2 = 0 Solving -224 + 4h + 3h2 = 0 Solving for variable 'h'. Factor a trinomial. (-28 + -3h)(8 + -1h) = 0Subproblem 1
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 = -9.333333333Subproblem 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 = {-9.333333333, 8}
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