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Simplifying 32h3 + -16h2 + 2h = 0 Reorder the terms: 2h + -16h2 + 32h3 = 0 Solving 2h + -16h2 + 32h3 = 0 Solving for variable 'h'. Factor out the Greatest Common Factor (GCF), '2h'. 2h(1 + -8h + 16h2) = 0 Factor a trinomial. 2h((1 + -4h)(1 + -4h)) = 0 Ignore the factor 2.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 '(1 + -4h)' equal to zero and attempt to solve: Simplifying 1 + -4h = 0 Solving 1 + -4h = 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 + -4h = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -4h = 0 + -1 -4h = 0 + -1 Combine like terms: 0 + -1 = -1 -4h = -1 Divide each side by '-4'. h = 0.25 Simplifying h = 0.25Subproblem 3
Set the factor '(1 + -4h)' equal to zero and attempt to solve: Simplifying 1 + -4h = 0 Solving 1 + -4h = 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 + -4h = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -4h = 0 + -1 -4h = 0 + -1 Combine like terms: 0 + -1 = -1 -4h = -1 Divide each side by '-4'. h = 0.25 Simplifying h = 0.25Solution
h = {0, 0.25, 0.25}
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