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Simplifying 4h2 + 6h = 0 Reorder the terms: 6h + 4h2 = 0 Solving 6h + 4h2 = 0 Solving for variable 'h'. Factor out the Greatest Common Factor (GCF), '2h'. 2h(3 + 2h) = 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 '(3 + 2h)' equal to zero and attempt to solve: Simplifying 3 + 2h = 0 Solving 3 + 2h = 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 + 2h = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2h = 0 + -3 2h = 0 + -3 Combine like terms: 0 + -3 = -3 2h = -3 Divide each side by '2'. h = -1.5 Simplifying h = -1.5Solution
h = {0, -1.5}
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