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Simplifying 5h2 + 3h + 7h + -3h2 = 0 Reorder the terms: 3h + 7h + 5h2 + -3h2 = 0 Combine like terms: 3h + 7h = 10h 10h + 5h2 + -3h2 = 0 Combine like terms: 5h2 + -3h2 = 2h2 10h + 2h2 = 0 Solving 10h + 2h2 = 0 Solving for variable 'h'. Factor out the Greatest Common Factor (GCF), '2h'. 2h(5 + h) = 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 '(5 + h)' equal to zero and attempt to solve: Simplifying 5 + h = 0 Solving 5 + h = 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 + h = 0 + -5 Combine like terms: 5 + -5 = 0 0 + h = 0 + -5 h = 0 + -5 Combine like terms: 0 + -5 = -5 h = -5 Simplifying h = -5Solution
h = {0, -5}
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