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Simplifying 27h2 + -72h + 48 = 0 Reorder the terms: 48 + -72h + 27h2 = 0 Solving 48 + -72h + 27h2 = 0 Solving for variable 'h'. Factor out the Greatest Common Factor (GCF), '3'. 3(16 + -24h + 9h2) = 0 Factor a trinomial. 3((4 + -3h)(4 + -3h)) = 0 Ignore the factor 3.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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