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Simplifying 4h(3h + 5) + -1h(2h + 4) = 0 Reorder the terms: 4h(5 + 3h) + -1h(2h + 4) = 0 (5 * 4h + 3h * 4h) + -1h(2h + 4) = 0 (20h + 12h2) + -1h(2h + 4) = 0 Reorder the terms: 20h + 12h2 + -1h(4 + 2h) = 0 20h + 12h2 + (4 * -1h + 2h * -1h) = 0 20h + 12h2 + (-4h + -2h2) = 0 Reorder the terms: 20h + -4h + 12h2 + -2h2 = 0 Combine like terms: 20h + -4h = 16h 16h + 12h2 + -2h2 = 0 Combine like terms: 12h2 + -2h2 = 10h2 16h + 10h2 = 0 Solving 16h + 10h2 = 0 Solving for variable 'h'. Factor out the Greatest Common Factor (GCF), '2h'. 2h(8 + 5h) = 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 '(8 + 5h)' equal to zero and attempt to solve: Simplifying 8 + 5h = 0 Solving 8 + 5h = 0 Move all terms containing h to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 5h = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 5h = 0 + -8 5h = 0 + -8 Combine like terms: 0 + -8 = -8 5h = -8 Divide each side by '5'. h = -1.6 Simplifying h = -1.6Solution
h = {0, -1.6}
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