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Simplifying 3h2 + 12h = 0 Reorder the terms: 12h + 3h2 = 0 Solving 12h + 3h2 = 0 Solving for variable 'h'. Factor out the Greatest Common Factor (GCF), '3h'. 3h(4 + h) = 0 Ignore the factor 3.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 '(4 + h)' equal to zero and attempt to solve: Simplifying 4 + h = 0 Solving 4 + h = 0 Move all terms containing h to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + h = 0 + -4 Combine like terms: 4 + -4 = 0 0 + h = 0 + -4 h = 0 + -4 Combine like terms: 0 + -4 = -4 h = -4 Simplifying h = -4Solution
h = {0, -4}
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