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Simplifying 5h3 + -60h2 + 180h = 0 Reorder the terms: 180h + -60h2 + 5h3 = 0 Solving 180h + -60h2 + 5h3 = 0 Solving for variable 'h'. Factor out the Greatest Common Factor (GCF), '5h'. 5h(36 + -12h + h2) = 0 Factor a trinomial. 5h((6 + -1h)(6 + -1h)) = 0 Ignore the factor 5.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 '(6 + -1h)' equal to zero and attempt to solve: Simplifying 6 + -1h = 0 Solving 6 + -1h = 0 Move all terms containing h to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1h = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1h = 0 + -6 -1h = 0 + -6 Combine like terms: 0 + -6 = -6 -1h = -6 Divide each side by '-1'. h = 6 Simplifying h = 6Subproblem 3
Set the factor '(6 + -1h)' equal to zero and attempt to solve: Simplifying 6 + -1h = 0 Solving 6 + -1h = 0 Move all terms containing h to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1h = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1h = 0 + -6 -1h = 0 + -6 Combine like terms: 0 + -6 = -6 -1h = -6 Divide each side by '-1'. h = 6 Simplifying h = 6Solution
h = {0, 6, 6}
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