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Simplifying 8h(8h + 3) = 0 Reorder the terms: 8h(3 + 8h) = 0 (3 * 8h + 8h * 8h) = 0 (24h + 64h2) = 0 Solving 24h + 64h2 = 0 Solving for variable 'h'. Factor out the Greatest Common Factor (GCF), '8h'. 8h(3 + 8h) = 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 '(3 + 8h)' equal to zero and attempt to solve: Simplifying 3 + 8h = 0 Solving 3 + 8h = 0 Move all terms containing h to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 8h = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 8h = 0 + -3 8h = 0 + -3 Combine like terms: 0 + -3 = -3 8h = -3 Divide each side by '8'. h = -0.375 Simplifying h = -0.375Solution
h = {0, -0.375}
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