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Simplifying h(3h + -5) = 0 Reorder the terms: h(-5 + 3h) = 0 (-5 * h + 3h * h) = 0 (-5h + 3h2) = 0 Solving -5h + 3h2 = 0 Solving for variable 'h'. Factor out the Greatest Common Factor (GCF), 'h'. h(-5 + 3h) = 0Subproblem 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 '(-5 + 3h)' equal to zero and attempt to solve: Simplifying -5 + 3h = 0 Solving -5 + 3h = 0 Move all terms containing h to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 3h = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 3h = 0 + 5 3h = 0 + 5 Combine like terms: 0 + 5 = 5 3h = 5 Divide each side by '3'. h = 1.666666667 Simplifying h = 1.666666667Solution
h = {0, 1.666666667}
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