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Simplifying 5h + -3h3 + 2h2 = 0 Reorder the terms: 5h + 2h2 + -3h3 = 0 Solving 5h + 2h2 + -3h3 = 0 Solving for variable 'h'. Factor out the Greatest Common Factor (GCF), 'h'. h(5 + 2h + -3h2) = 0 Factor a trinomial. h((5 + -3h)(1 + h)) = 0Subproblem 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 '(5 + -3h)' equal to zero and attempt to solve: Simplifying 5 + -3h = 0 Solving 5 + -3h = 0 Move all terms containing h to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -3h = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3h = 0 + -5 -3h = 0 + -5 Combine like terms: 0 + -5 = -5 -3h = -5 Divide each side by '-3'. h = 1.666666667 Simplifying h = 1.666666667Subproblem 3
Set the factor '(1 + h)' equal to zero and attempt to solve: Simplifying 1 + h = 0 Solving 1 + h = 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 + h = 0 + -1 Combine like terms: 1 + -1 = 0 0 + h = 0 + -1 h = 0 + -1 Combine like terms: 0 + -1 = -1 h = -1 Simplifying h = -1Solution
h = {0, 1.666666667, -1}
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