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Simplifying 126h3 + -195h2 + -66h = 0 Reorder the terms: -66h + -195h2 + 126h3 = 0 Solving -66h + -195h2 + 126h3 = 0 Solving for variable 'h'. Factor out the Greatest Common Factor (GCF), '3h'. 3h(-22 + -65h + 42h2) = 0 Factor a trinomial. 3h((-2 + -7h)(11 + -6h)) = 0 Ignore the factor 3.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 '(-2 + -7h)' equal to zero and attempt to solve: Simplifying -2 + -7h = 0 Solving -2 + -7h = 0 Move all terms containing h to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -7h = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -7h = 0 + 2 -7h = 0 + 2 Combine like terms: 0 + 2 = 2 -7h = 2 Divide each side by '-7'. h = -0.2857142857 Simplifying h = -0.2857142857Subproblem 3
Set the factor '(11 + -6h)' equal to zero and attempt to solve: Simplifying 11 + -6h = 0 Solving 11 + -6h = 0 Move all terms containing h to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -6h = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -6h = 0 + -11 -6h = 0 + -11 Combine like terms: 0 + -11 = -11 -6h = -11 Divide each side by '-6'. h = 1.833333333 Simplifying h = 1.833333333Solution
h = {0, -0.2857142857, 1.833333333}
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