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Simplifying 4h(7h + 7) + h(3h + 3) = 0 Reorder the terms: 4h(7 + 7h) + h(3h + 3) = 0 (7 * 4h + 7h * 4h) + h(3h + 3) = 0 (28h + 28h2) + h(3h + 3) = 0 Reorder the terms: 28h + 28h2 + h(3 + 3h) = 0 28h + 28h2 + (3 * h + 3h * h) = 0 28h + 28h2 + (3h + 3h2) = 0 Reorder the terms: 28h + 3h + 28h2 + 3h2 = 0 Combine like terms: 28h + 3h = 31h 31h + 28h2 + 3h2 = 0 Combine like terms: 28h2 + 3h2 = 31h2 31h + 31h2 = 0 Solving 31h + 31h2 = 0 Solving for variable 'h'. Factor out the Greatest Common Factor (GCF), '31h'. 31h(1 + h) = 0 Ignore the factor 31.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 '(1 + h)' equal to zero and attempt to solve: Simplifying 1 + h = 0 Solving 1 + h = 0 Move all terms containing h to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + h = 0 + -1 Combine like terms: 1 + -1 = 0 0 + h = 0 + -1 h = 0 + -1 Combine like terms: 0 + -1 = -1 h = -1 Simplifying h = -1Solution
h = {0, -1}
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