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Simplifying 3h3 + 18h2 + 27h = 0 Reorder the terms: 27h + 18h2 + 3h3 = 0 Solving 27h + 18h2 + 3h3 = 0 Solving for variable 'h'. Factor out the Greatest Common Factor (GCF), '3h'. 3h(9 + 6h + h2) = 0 Factor a trinomial. 3h((3 + h)(3 + h)) = 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 '(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 3
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 = -3Solution
h = {0, -3, -3}
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