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Simplifying -15h4 + -35h3 + -10h2 = 0 Reorder the terms: -10h2 + -35h3 + -15h4 = 0 Solving -10h2 + -35h3 + -15h4 = 0 Solving for variable 'h'. Factor out the Greatest Common Factor (GCF), '-5h2'. -5h2(2 + 7h + 3h2) = 0 Factor a trinomial. -5h2((2 + h)(1 + 3h)) = 0 Ignore the factor -5.Subproblem 1
Set the factor 'h2' equal to zero and attempt to solve: Simplifying h2 = 0 Solving h2 = 0 Move all terms containing h to the left, all other terms to the right. Simplifying h2 = 0 Take the square root of each side: h = {0}Subproblem 2
Set the factor '(2 + h)' equal to zero and attempt to solve: Simplifying 2 + h = 0 Solving 2 + h = 0 Move all terms containing h to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + h = 0 + -2 Combine like terms: 2 + -2 = 0 0 + h = 0 + -2 h = 0 + -2 Combine like terms: 0 + -2 = -2 h = -2 Simplifying h = -2Subproblem 3
Set the factor '(1 + 3h)' equal to zero and attempt to solve: Simplifying 1 + 3h = 0 Solving 1 + 3h = 0 Move all terms containing h to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 3h = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3h = 0 + -1 3h = 0 + -1 Combine like terms: 0 + -1 = -1 3h = -1 Divide each side by '3'. h = -0.3333333333 Simplifying h = -0.3333333333Solution
h = {0, -2, -0.3333333333}
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