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Simplifying 9h2 + -30h = 0 Reorder the terms: -30h + 9h2 = 0 Solving -30h + 9h2 = 0 Solving for variable 'h'. Factor out the Greatest Common Factor (GCF), '3h'. 3h(-10 + 3h) = 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 '(-10 + 3h)' equal to zero and attempt to solve: Simplifying -10 + 3h = 0 Solving -10 + 3h = 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 + 3h = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 3h = 0 + 10 3h = 0 + 10 Combine like terms: 0 + 10 = 10 3h = 10 Divide each side by '3'. h = 3.333333333 Simplifying h = 3.333333333Solution
h = {0, 3.333333333}
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