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Simplifying 27h3 = 48h Solving 27h3 = 48h Solving for variable 'h'. Reorder the terms: -48h + 27h3 = 48h + -48h Combine like terms: 48h + -48h = 0 -48h + 27h3 = 0 Factor out the Greatest Common Factor (GCF), '3h'. 3h(-16 + 9h2) = 0 Factor a difference between two squares. 3h((4 + 3h)(-4 + 3h)) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'h' equal to zero and attempt to solve: Simplifying h = 0 Solving h = 0 Move all terms containing h to the left, all other terms to the right. Simplifying h = 0Subproblem 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 = -1.333333333Subproblem 3
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 = {0, -1.333333333, 1.333333333}
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