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Simplifying 5h(3h + 1) = 0 Reorder the terms: 5h(1 + 3h) = 0 (1 * 5h + 3h * 5h) = 0 (5h + 15h2) = 0 Solving 5h + 15h2 = 0 Solving for variable 'h'. Factor out the Greatest Common Factor (GCF), '5h'. 5h(1 + 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 '(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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