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Simplifying 0 = 3h2 + 16h + 16 Reorder the terms: 0 = 16 + 16h + 3h2 Solving 0 = 16 + 16h + 3h2 Solving for variable 'h'. Combine like terms: 0 + -16 = -16 -16 + -16h + -3h2 = 16 + 16h + 3h2 + -16 + -16h + -3h2 Reorder the terms: -16 + -16h + -3h2 = 16 + -16 + 16h + -16h + 3h2 + -3h2 Combine like terms: 16 + -16 = 0 -16 + -16h + -3h2 = 0 + 16h + -16h + 3h2 + -3h2 -16 + -16h + -3h2 = 16h + -16h + 3h2 + -3h2 Combine like terms: 16h + -16h = 0 -16 + -16h + -3h2 = 0 + 3h2 + -3h2 -16 + -16h + -3h2 = 3h2 + -3h2 Combine like terms: 3h2 + -3h2 = 0 -16 + -16h + -3h2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(16 + 16h + 3h2) = 0 Factor a trinomial. -1((4 + h)(4 + 3h)) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(4 + h)' equal to zero and attempt to solve: Simplifying 4 + h = 0 Solving 4 + h = 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 + h = 0 + -4 Combine like terms: 4 + -4 = 0 0 + h = 0 + -4 h = 0 + -4 Combine like terms: 0 + -4 = -4 h = -4 Simplifying h = -4Subproblem 2
Set the factor '(4 + 3h)' equal to zero and attempt to solve: Simplifying 4 + 3h = 0 Solving 4 + 3h = 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 + 3h = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3h = 0 + -4 3h = 0 + -4 Combine like terms: 0 + -4 = -4 3h = -4 Divide each side by '3'. h = -1.333333333 Simplifying h = -1.333333333Solution
h = {-4, -1.333333333}
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