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Simplifying h * h * h + 24 * 24 * 24 = (3h + 4)(3h + 4)(3h + 4) Multiply h * h h2 * h + 24 * 24 * 24 = (3h + 4)(3h + 4)(3h + 4) Multiply h2 * h h3 + 24 * 24 * 24 = (3h + 4)(3h + 4)(3h + 4) Multiply 24 * 24 h3 + 576 * 24 = (3h + 4)(3h + 4)(3h + 4) Multiply 576 * 24 h3 + 13824 = (3h + 4)(3h + 4)(3h + 4) Reorder the terms: 13824 + h3 = (3h + 4)(3h + 4)(3h + 4) Reorder the terms: 13824 + h3 = (4 + 3h)(3h + 4)(3h + 4) Reorder the terms: 13824 + h3 = (4 + 3h)(4 + 3h)(3h + 4) Reorder the terms: 13824 + h3 = (4 + 3h)(4 + 3h)(4 + 3h) Multiply (4 + 3h) * (4 + 3h) 13824 + h3 = (4(4 + 3h) + 3h * (4 + 3h))(4 + 3h) 13824 + h3 = ((4 * 4 + 3h * 4) + 3h * (4 + 3h))(4 + 3h) 13824 + h3 = ((16 + 12h) + 3h * (4 + 3h))(4 + 3h) 13824 + h3 = (16 + 12h + (4 * 3h + 3h * 3h))(4 + 3h) 13824 + h3 = (16 + 12h + (12h + 9h2))(4 + 3h) Combine like terms: 12h + 12h = 24h 13824 + h3 = (16 + 24h + 9h2)(4 + 3h) Multiply (16 + 24h + 9h2) * (4 + 3h) 13824 + h3 = (16(4 + 3h) + 24h * (4 + 3h) + 9h2 * (4 + 3h)) 13824 + h3 = ((4 * 16 + 3h * 16) + 24h * (4 + 3h) + 9h2 * (4 + 3h)) 13824 + h3 = ((64 + 48h) + 24h * (4 + 3h) + 9h2 * (4 + 3h)) 13824 + h3 = (64 + 48h + (4 * 24h + 3h * 24h) + 9h2 * (4 + 3h)) 13824 + h3 = (64 + 48h + (96h + 72h2) + 9h2 * (4 + 3h)) 13824 + h3 = (64 + 48h + 96h + 72h2 + (4 * 9h2 + 3h * 9h2)) 13824 + h3 = (64 + 48h + 96h + 72h2 + (36h2 + 27h3)) Combine like terms: 48h + 96h = 144h 13824 + h3 = (64 + 144h + 72h2 + 36h2 + 27h3) Combine like terms: 72h2 + 36h2 = 108h2 13824 + h3 = (64 + 144h + 108h2 + 27h3) Solving 13824 + h3 = 64 + 144h + 108h2 + 27h3 Solving for variable 'h'. Reorder the terms: 13824 + -64 + -144h + -108h2 + h3 + -27h3 = 64 + 144h + 108h2 + 27h3 + -64 + -144h + -108h2 + -27h3 Combine like terms: 13824 + -64 = 13760 13760 + -144h + -108h2 + h3 + -27h3 = 64 + 144h + 108h2 + 27h3 + -64 + -144h + -108h2 + -27h3 Combine like terms: h3 + -27h3 = -26h3 13760 + -144h + -108h2 + -26h3 = 64 + 144h + 108h2 + 27h3 + -64 + -144h + -108h2 + -27h3 Reorder the terms: 13760 + -144h + -108h2 + -26h3 = 64 + -64 + 144h + -144h + 108h2 + -108h2 + 27h3 + -27h3 Combine like terms: 64 + -64 = 0 13760 + -144h + -108h2 + -26h3 = 0 + 144h + -144h + 108h2 + -108h2 + 27h3 + -27h3 13760 + -144h + -108h2 + -26h3 = 144h + -144h + 108h2 + -108h2 + 27h3 + -27h3 Combine like terms: 144h + -144h = 0 13760 + -144h + -108h2 + -26h3 = 0 + 108h2 + -108h2 + 27h3 + -27h3 13760 + -144h + -108h2 + -26h3 = 108h2 + -108h2 + 27h3 + -27h3 Combine like terms: 108h2 + -108h2 = 0 13760 + -144h + -108h2 + -26h3 = 0 + 27h3 + -27h3 13760 + -144h + -108h2 + -26h3 = 27h3 + -27h3 Combine like terms: 27h3 + -27h3 = 0 13760 + -144h + -108h2 + -26h3 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(6880 + -72h + -54h2 + -13h3) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(6880 + -72h + -54h2 + -13h3)' equal to zero and attempt to solve: Simplifying 6880 + -72h + -54h2 + -13h3 = 0 Solving 6880 + -72h + -54h2 + -13h3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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