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Simplifying 8h(3h + 3k) = 0 (3h * 8h + 3k * 8h) = 0 Reorder the terms: (24hk + 24h2) = 0 (24hk + 24h2) = 0 Solving 24hk + 24h2 = 0 Solving for variable 'h'. Factor out the Greatest Common Factor (GCF), '24h'. 24h(k + h) = 0 Ignore the factor 24.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 '(k + h)' equal to zero and attempt to solve: Simplifying k + h = 0 Reorder the terms: h + k = 0 Solving h + k = 0 Move all terms containing h to the left, all other terms to the right. Add '-1k' to each side of the equation. h + k + -1k = 0 + -1k Combine like terms: k + -1k = 0 h + 0 = 0 + -1k h = 0 + -1k Remove the zero: h = -1k Simplifying h = -1kSolution
h = {0, -1k}
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