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Simplifying 3h3 + 13h2 + -16h = 0 Reorder the terms: -16h + 13h2 + 3h3 = 0 Solving -16h + 13h2 + 3h3 = 0 Solving for variable 'h'. Factor out the Greatest Common Factor (GCF), 'h'. h(-16 + 13h + 3h2) = 0 Factor a trinomial. h((-16 + -3h)(1 + -1h)) = 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 '(-16 + -3h)' equal to zero and attempt to solve: Simplifying -16 + -3h = 0 Solving -16 + -3h = 0 Move all terms containing h to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + -3h = 0 + 16 Combine like terms: -16 + 16 = 0 0 + -3h = 0 + 16 -3h = 0 + 16 Combine like terms: 0 + 16 = 16 -3h = 16 Divide each side by '-3'. h = -5.333333333 Simplifying h = -5.333333333Subproblem 3
Set the factor '(1 + -1h)' equal to zero and attempt to solve: Simplifying 1 + -1h = 0 Solving 1 + -1h = 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 + -1h = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1h = 0 + -1 -1h = 0 + -1 Combine like terms: 0 + -1 = -1 -1h = -1 Divide each side by '-1'. h = 1 Simplifying h = 1Solution
h = {0, -5.333333333, 1}
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