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Simplifying (2u + 5x + -6) * x(u + 7x) = 0 Reorder the terms: (-6 + 2u + 5x) * x(u + 7x) = 0 Reorder the terms for easier multiplication: x(-6 + 2u + 5x)(u + 7x) = 0 Multiply (-6 + 2u + 5x) * (u + 7x) x(-6(u + 7x) + 2u * (u + 7x) + 5x * (u + 7x)) = 0 x((u * -6 + 7x * -6) + 2u * (u + 7x) + 5x * (u + 7x)) = 0 x((-6u + -42x) + 2u * (u + 7x) + 5x * (u + 7x)) = 0 x(-6u + -42x + (u * 2u + 7x * 2u) + 5x * (u + 7x)) = 0 Reorder the terms: x(-6u + -42x + (14ux + 2u2) + 5x * (u + 7x)) = 0 x(-6u + -42x + (14ux + 2u2) + 5x * (u + 7x)) = 0 x(-6u + -42x + 14ux + 2u2 + (u * 5x + 7x * 5x)) = 0 x(-6u + -42x + 14ux + 2u2 + (5ux + 35x2)) = 0 Reorder the terms: x(-6u + 14ux + 5ux + 2u2 + -42x + 35x2) = 0 Combine like terms: 14ux + 5ux = 19ux x(-6u + 19ux + 2u2 + -42x + 35x2) = 0 (-6u * x + 19ux * x + 2u2 * x + -42x * x + 35x2 * x) = 0 (-6ux + 19ux2 + 2u2x + -42x2 + 35x3) = 0 Solving -6ux + 19ux2 + 2u2x + -42x2 + 35x3 = 0 Solving for variable 'u'. Factor out the Greatest Common Factor (GCF), 'x'. x(-6u + 19ux + 2u2 + -42x + 35x2) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing u to the left, all other terms to the right. Add '-1x' to each side of the equation. x + -1x = 0 + -1x Remove the zero: 0 = -1x Simplifying 0 = -1x 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 '(-6u + 19ux + 2u2 + -42x + 35x2)' equal to zero and attempt to solve: Simplifying -6u + 19ux + 2u2 + -42x + 35x2 = 0 Solving -6u + 19ux + 2u2 + -42x + 35x2 = 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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