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Simplifying -1h3 + h2 = -20h Reorder the terms: h2 + -1h3 = -20h Solving h2 + -1h3 = -20h Solving for variable 'h'. Reorder the terms: 20h + h2 + -1h3 = -20h + 20h Combine like terms: -20h + 20h = 0 20h + h2 + -1h3 = 0 Factor out the Greatest Common Factor (GCF), 'h'. h(20 + h + -1h2) = 0 Factor a trinomial. h((5 + -1h)(4 + 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 + -1h)' equal to zero and attempt to solve: Simplifying 5 + -1h = 0 Solving 5 + -1h = 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 + -1h = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1h = 0 + -5 -1h = 0 + -5 Combine like terms: 0 + -5 = -5 -1h = -5 Divide each side by '-1'. h = 5 Simplifying h = 5Subproblem 3
Set the factor '(4 + h)' equal to zero and attempt to solve: Simplifying 4 + h = 0 Solving 4 + h = 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 + h = 0 + -4 Combine like terms: 4 + -4 = 0 0 + h = 0 + -4 h = 0 + -4 Combine like terms: 0 + -4 = -4 h = -4 Simplifying h = -4Solution
h = {0, 5, -4}
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