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Simplifying 2h(5h + 12) = 0 Reorder the terms: 2h(12 + 5h) = 0 (12 * 2h + 5h * 2h) = 0 (24h + 10h2) = 0 Solving 24h + 10h2 = 0 Solving for variable 'h'. Factor out the Greatest Common Factor (GCF), '2h'. 2h(12 + 5h) = 0 Ignore the factor 2.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 '(12 + 5h)' equal to zero and attempt to solve: Simplifying 12 + 5h = 0 Solving 12 + 5h = 0 Move all terms containing h to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 5h = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 5h = 0 + -12 5h = 0 + -12 Combine like terms: 0 + -12 = -12 5h = -12 Divide each side by '5'. h = -2.4 Simplifying h = -2.4Solution
h = {0, -2.4}
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