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Simplifying 5h(3h + -2) = 0 Reorder the terms: 5h(-2 + 3h) = 0 (-2 * 5h + 3h * 5h) = 0 (-10h + 15h2) = 0 Solving -10h + 15h2 = 0 Solving for variable 'h'. Factor out the Greatest Common Factor (GCF), '5h'. 5h(-2 + 3h) = 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 '(-2 + 3h)' equal to zero and attempt to solve: Simplifying -2 + 3h = 0 Solving -2 + 3h = 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 + 3h = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 3h = 0 + 2 3h = 0 + 2 Combine like terms: 0 + 2 = 2 3h = 2 Divide each side by '3'. h = 0.6666666667 Simplifying h = 0.6666666667Solution
h = {0, 0.6666666667}
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