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Simplifying 15h2 + 72h + 81 = 0 Reorder the terms: 81 + 72h + 15h2 = 0 Solving 81 + 72h + 15h2 = 0 Solving for variable 'h'. Factor out the Greatest Common Factor (GCF), '3'. 3(27 + 24h + 5h2) = 0 Factor a trinomial. 3((3 + h)(9 + 5h)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(3 + h)' equal to zero and attempt to solve: Simplifying 3 + h = 0 Solving 3 + h = 0 Move all terms containing h to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + h = 0 + -3 Combine like terms: 3 + -3 = 0 0 + h = 0 + -3 h = 0 + -3 Combine like terms: 0 + -3 = -3 h = -3 Simplifying h = -3Subproblem 2
Set the factor '(9 + 5h)' equal to zero and attempt to solve: Simplifying 9 + 5h = 0 Solving 9 + 5h = 0 Move all terms containing h to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 5h = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 5h = 0 + -9 5h = 0 + -9 Combine like terms: 0 + -9 = -9 5h = -9 Divide each side by '5'. h = -1.8 Simplifying h = -1.8Solution
h = {-3, -1.8}
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