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Simplifying 18h2 + 48h + 32 = 0 Reorder the terms: 32 + 48h + 18h2 = 0 Solving 32 + 48h + 18h2 = 0 Solving for variable 'h'. Factor out the Greatest Common Factor (GCF), '2'. 2(16 + 24h + 9h2) = 0 Factor a trinomial. 2((4 + 3h)(4 + 3h)) = 0 Ignore the factor 2.Subproblem 1
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 = -1.333333333Subproblem 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 = {-1.333333333, -1.333333333}
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