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Simplifying h3 + -100h = 0 Reorder the terms: -100h + h3 = 0 Solving -100h + h3 = 0 Solving for variable 'h'. Factor out the Greatest Common Factor (GCF), 'h'. h(-100 + h2) = 0 Factor a difference between two squares. h((10 + h)(-10 + 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 '(10 + h)' equal to zero and attempt to solve: Simplifying 10 + h = 0 Solving 10 + h = 0 Move all terms containing h to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + h = 0 + -10 Combine like terms: 10 + -10 = 0 0 + h = 0 + -10 h = 0 + -10 Combine like terms: 0 + -10 = -10 h = -10 Simplifying h = -10Subproblem 3
Set the factor '(-10 + h)' equal to zero and attempt to solve: Simplifying -10 + h = 0 Solving -10 + h = 0 Move all terms containing h to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + h = 0 + 10 Combine like terms: -10 + 10 = 0 0 + h = 0 + 10 h = 0 + 10 Combine like terms: 0 + 10 = 10 h = 10 Simplifying h = 10Solution
h = {0, -10, 10}
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