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Simplifying (2v + -8)(v2 + 7u + 6) = 0 Reorder the terms: (-8 + 2v)(v2 + 7u + 6) = 0 Reorder the terms: (-8 + 2v)(6 + 7u + v2) = 0 Multiply (-8 + 2v) * (6 + 7u + v2) (-8(6 + 7u + v2) + 2v * (6 + 7u + v2)) = 0 ((6 * -8 + 7u * -8 + v2 * -8) + 2v * (6 + 7u + v2)) = 0 ((-48 + -56u + -8v2) + 2v * (6 + 7u + v2)) = 0 (-48 + -56u + -8v2 + (6 * 2v + 7u * 2v + v2 * 2v)) = 0 Reorder the terms: (-48 + -56u + -8v2 + (14uv + 12v + 2v3)) = 0 (-48 + -56u + -8v2 + (14uv + 12v + 2v3)) = 0 Reorder the terms: (-48 + -56u + 14uv + 12v + -8v2 + 2v3) = 0 (-48 + -56u + 14uv + 12v + -8v2 + 2v3) = 0 Solving -48 + -56u + 14uv + 12v + -8v2 + 2v3 = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '48' to each side of the equation. -48 + -56u + 14uv + 12v + -8v2 + 48 + 2v3 = 0 + 48 Reorder the terms: -48 + 48 + -56u + 14uv + 12v + -8v2 + 2v3 = 0 + 48 Combine like terms: -48 + 48 = 0 0 + -56u + 14uv + 12v + -8v2 + 2v3 = 0 + 48 -56u + 14uv + 12v + -8v2 + 2v3 = 0 + 48 Combine like terms: 0 + 48 = 48 -56u + 14uv + 12v + -8v2 + 2v3 = 48 Add '-12v' to each side of the equation. -56u + 14uv + 12v + -8v2 + -12v + 2v3 = 48 + -12v Reorder the terms: -56u + 14uv + 12v + -12v + -8v2 + 2v3 = 48 + -12v Combine like terms: 12v + -12v = 0 -56u + 14uv + 0 + -8v2 + 2v3 = 48 + -12v -56u + 14uv + -8v2 + 2v3 = 48 + -12v Add '8v2' to each side of the equation. -56u + 14uv + -8v2 + 8v2 + 2v3 = 48 + -12v + 8v2 Combine like terms: -8v2 + 8v2 = 0 -56u + 14uv + 0 + 2v3 = 48 + -12v + 8v2 -56u + 14uv + 2v3 = 48 + -12v + 8v2 Add '-2v3' to each side of the equation. -56u + 14uv + 2v3 + -2v3 = 48 + -12v + 8v2 + -2v3 Combine like terms: 2v3 + -2v3 = 0 -56u + 14uv + 0 = 48 + -12v + 8v2 + -2v3 -56u + 14uv = 48 + -12v + 8v2 + -2v3 Reorder the terms: -48 + -56u + 14uv + 12v + -8v2 + 2v3 = 48 + -12v + 8v2 + -2v3 + -48 + 12v + -8v2 + 2v3 Reorder the terms: -48 + -56u + 14uv + 12v + -8v2 + 2v3 = 48 + -48 + -12v + 12v + 8v2 + -8v2 + -2v3 + 2v3 Combine like terms: 48 + -48 = 0 -48 + -56u + 14uv + 12v + -8v2 + 2v3 = 0 + -12v + 12v + 8v2 + -8v2 + -2v3 + 2v3 -48 + -56u + 14uv + 12v + -8v2 + 2v3 = -12v + 12v + 8v2 + -8v2 + -2v3 + 2v3 Combine like terms: -12v + 12v = 0 -48 + -56u + 14uv + 12v + -8v2 + 2v3 = 0 + 8v2 + -8v2 + -2v3 + 2v3 -48 + -56u + 14uv + 12v + -8v2 + 2v3 = 8v2 + -8v2 + -2v3 + 2v3 Combine like terms: 8v2 + -8v2 = 0 -48 + -56u + 14uv + 12v + -8v2 + 2v3 = 0 + -2v3 + 2v3 -48 + -56u + 14uv + 12v + -8v2 + 2v3 = -2v3 + 2v3 Combine like terms: -2v3 + 2v3 = 0 -48 + -56u + 14uv + 12v + -8v2 + 2v3 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-24 + -28u + 7uv + 6v + -4v2 + v3) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-24 + -28u + 7uv + 6v + -4v2 + v3)' equal to zero and attempt to solve: Simplifying -24 + -28u + 7uv + 6v + -4v2 + v3 = 0 Solving -24 + -28u + 7uv + 6v + -4v2 + v3 = 0 Move all terms containing u to the left, all other terms to the right. Add '24' to each side of the equation. -24 + -28u + 7uv + 6v + -4v2 + 24 + v3 = 0 + 24 Reorder the terms: -24 + 24 + -28u + 7uv + 6v + -4v2 + v3 = 0 + 24 Combine like terms: -24 + 24 = 0 0 + -28u + 7uv + 6v + -4v2 + v3 = 0 + 24 -28u + 7uv + 6v + -4v2 + v3 = 0 + 24 Combine like terms: 0 + 24 = 24 -28u + 7uv + 6v + -4v2 + v3 = 24 Add '-6v' to each side of the equation. -28u + 7uv + 6v + -4v2 + -6v + v3 = 24 + -6v Reorder the terms: -28u + 7uv + 6v + -6v + -4v2 + v3 = 24 + -6v Combine like terms: 6v + -6v = 0 -28u + 7uv + 0 + -4v2 + v3 = 24 + -6v -28u + 7uv + -4v2 + v3 = 24 + -6v Add '4v2' to each side of the equation. -28u + 7uv + -4v2 + 4v2 + v3 = 24 + -6v + 4v2 Combine like terms: -4v2 + 4v2 = 0 -28u + 7uv + 0 + v3 = 24 + -6v + 4v2 -28u + 7uv + v3 = 24 + -6v + 4v2 Add '-1v3' to each side of the equation. -28u + 7uv + v3 + -1v3 = 24 + -6v + 4v2 + -1v3 Combine like terms: v3 + -1v3 = 0 -28u + 7uv + 0 = 24 + -6v + 4v2 + -1v3 -28u + 7uv = 24 + -6v + 4v2 + -1v3 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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