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Simplifying 9h2 = 3h Solving 9h2 = 3h Solving for variable 'h'. Reorder the terms: -3h + 9h2 = 3h + -3h Combine like terms: 3h + -3h = 0 -3h + 9h2 = 0 Factor out the Greatest Common Factor (GCF), '3h'. 3h(-1 + 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 '(-1 + 3h)' equal to zero and attempt to solve: Simplifying -1 + 3h = 0 Solving -1 + 3h = 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 + 3h = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 3h = 0 + 1 3h = 0 + 1 Combine like terms: 0 + 1 = 1 3h = 1 Divide each side by '3'. h = 0.3333333333 Simplifying h = 0.3333333333Solution
h = {0, 0.3333333333}
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