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Simplifying -1(5h + 6 + -1h) * h = 0 Reorder the terms: -1(6 + 5h + -1h) * h = 0 Combine like terms: 5h + -1h = 4h -1(6 + 4h) * h = 0 Reorder the terms for easier multiplication: -1h(6 + 4h) = 0 (6 * -1h + 4h * -1h) = 0 (-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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