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Simplifying 8h(3h + 5) = 0 Reorder the terms: 8h(5 + 3h) = 0 (5 * 8h + 3h * 8h) = 0 (40h + 24h2) = 0 Solving 40h + 24h2 = 0 Solving for variable 'h'. Factor out the Greatest Common Factor (GCF), '8h'. 8h(5 + 3h) = 0 Ignore the factor 8.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 '(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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