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Simplifying 24u3 + 66u4 + 45u3x = 0 Reorder the terms: 24u3 + 45u3x + 66u4 = 0 Solving 24u3 + 45u3x + 66u4 = 0 Solving for variable 'u'. Factor out the Greatest Common Factor (GCF), '3u3'. 3u3(8 + 15x + 22u) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'u3' equal to zero and attempt to solve: Simplifying u3 = 0 Solving u3 = 0 Move all terms containing u to the left, all other terms to the right. Simplifying u3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(8 + 15x + 22u)' equal to zero and attempt to solve: Simplifying 8 + 15x + 22u = 0 Reorder the terms: 8 + 22u + 15x = 0 Solving 8 + 22u + 15x = 0 Move all terms containing u to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + 22u + -8 + 15x = 0 + -8 Reorder the terms: 8 + -8 + 22u + 15x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 22u + 15x = 0 + -8 22u + 15x = 0 + -8 Combine like terms: 0 + -8 = -8 22u + 15x = -8 Add '-15x' to each side of the equation. 22u + 15x + -15x = -8 + -15x Combine like terms: 15x + -15x = 0 22u + 0 = -8 + -15x 22u = -8 + -15x Divide each side by '22'. u = -0.3636363636 + -0.6818181818x Simplifying u = -0.3636363636 + -0.6818181818xSolution
u = {-0.3636363636 + -0.6818181818x}
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