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Simplifying 36h3 + -60h2 + -144h = 0 Reorder the terms: -144h + -60h2 + 36h3 = 0 Solving -144h + -60h2 + 36h3 = 0 Solving for variable 'h'. Factor out the Greatest Common Factor (GCF), '12h'. 12h(-12 + -5h + 3h2) = 0 Factor a trinomial. 12h((-4 + -3h)(3 + -1h)) = 0 Ignore the factor 12.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 '(3 + -1h)' equal to zero and attempt to solve: Simplifying 3 + -1h = 0 Solving 3 + -1h = 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 + -1h = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1h = 0 + -3 -1h = 0 + -3 Combine like terms: 0 + -3 = -3 -1h = -3 Divide each side by '-1'. h = 3 Simplifying h = 3Solution
h = {0, -1.333333333, 3}
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