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Simplifying [6(h * h)] + 5h = 0 Multiply h * h [6(h2)] + 5h = 0 Reorder the terms: 5h + [6h2] = 0 Solving 5h + [6h2] = 0 Solving for variable 'h'. Factor out the Greatest Common Factor (GCF), 'h'. h(5 + [6h]) = 0Subproblem 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 + [6h])' equal to zero and attempt to solve: Simplifying 5 + [6h] = 0 Solving 5 + [6h] = 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 + [6h] = 0 + -5 Combine like terms: 5 + -5 = 0 0 + [6h] = 0 + -5 [6h] = 0 + -5 Combine like terms: 0 + -5 = -5 [6h] = -5 Divide each side by '6'. h = -0.8333333333 Simplifying h = -0.8333333333Solution
h = {0, -0.8333333333}
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