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Simplifying 3x3u + 5x2u + -4xu + -4u = 0 Reorder the terms: -4u + -4ux + 5ux2 + 3ux3 = 0 Solving -4u + -4ux + 5ux2 + 3ux3 = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'u'. u(-4 + -4x + 5x2 + 3x3) = 0Subproblem 1
Set the factor 'u' equal to zero and attempt to solve: Simplifying u = 0 Solving u = 0 Move all terms containing u to the left, all other terms to the right. Simplifying u = 0Subproblem 2
Set the factor '(-4 + -4x + 5x2 + 3x3)' equal to zero and attempt to solve: Simplifying -4 + -4x + 5x2 + 3x3 = 0 Solving -4 + -4x + 5x2 + 3x3 = 0 Move all terms containing u to the left, all other terms to the right. Add '4' to each side of the equation. -4 + -4x + 5x2 + 4 + 3x3 = 0 + 4 Reorder the terms: -4 + 4 + -4x + 5x2 + 3x3 = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -4x + 5x2 + 3x3 = 0 + 4 -4x + 5x2 + 3x3 = 0 + 4 Combine like terms: 0 + 4 = 4 -4x + 5x2 + 3x3 = 4 Add '4x' to each side of the equation. -4x + 5x2 + 4x + 3x3 = 4 + 4x Reorder the terms: -4x + 4x + 5x2 + 3x3 = 4 + 4x Combine like terms: -4x + 4x = 0 0 + 5x2 + 3x3 = 4 + 4x 5x2 + 3x3 = 4 + 4x Add '-5x2' to each side of the equation. 5x2 + -5x2 + 3x3 = 4 + 4x + -5x2 Combine like terms: 5x2 + -5x2 = 0 0 + 3x3 = 4 + 4x + -5x2 3x3 = 4 + 4x + -5x2 Add '-3x3' to each side of the equation. 3x3 + -3x3 = 4 + 4x + -5x2 + -3x3 Combine like terms: 3x3 + -3x3 = 0 0 = 4 + 4x + -5x2 + -3x3 Simplifying 0 = 4 + 4x + -5x2 + -3x3 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
u = {0}
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