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Simplifying (5x + 3)(2x + -4u + -2) = 0 Reorder the terms: (3 + 5x)(2x + -4u + -2) = 0 Reorder the terms: (3 + 5x)(-2 + -4u + 2x) = 0 Multiply (3 + 5x) * (-2 + -4u + 2x) (3(-2 + -4u + 2x) + 5x * (-2 + -4u + 2x)) = 0 ((-2 * 3 + -4u * 3 + 2x * 3) + 5x * (-2 + -4u + 2x)) = 0 ((-6 + -12u + 6x) + 5x * (-2 + -4u + 2x)) = 0 (-6 + -12u + 6x + (-2 * 5x + -4u * 5x + 2x * 5x)) = 0 Reorder the terms: (-6 + -12u + 6x + (-20ux + -10x + 10x2)) = 0 (-6 + -12u + 6x + (-20ux + -10x + 10x2)) = 0 Reorder the terms: (-6 + -12u + -20ux + 6x + -10x + 10x2) = 0 Combine like terms: 6x + -10x = -4x (-6 + -12u + -20ux + -4x + 10x2) = 0 Solving -6 + -12u + -20ux + -4x + 10x2 = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '6' to each side of the equation. -6 + -12u + -20ux + -4x + 6 + 10x2 = 0 + 6 Reorder the terms: -6 + 6 + -12u + -20ux + -4x + 10x2 = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -12u + -20ux + -4x + 10x2 = 0 + 6 -12u + -20ux + -4x + 10x2 = 0 + 6 Combine like terms: 0 + 6 = 6 -12u + -20ux + -4x + 10x2 = 6 Add '4x' to each side of the equation. -12u + -20ux + -4x + 4x + 10x2 = 6 + 4x Combine like terms: -4x + 4x = 0 -12u + -20ux + 0 + 10x2 = 6 + 4x -12u + -20ux + 10x2 = 6 + 4x Add '-10x2' to each side of the equation. -12u + -20ux + 10x2 + -10x2 = 6 + 4x + -10x2 Combine like terms: 10x2 + -10x2 = 0 -12u + -20ux + 0 = 6 + 4x + -10x2 -12u + -20ux = 6 + 4x + -10x2 Reorder the terms: -6 + -12u + -20ux + -4x + 10x2 = 6 + 4x + -10x2 + -6 + -4x + 10x2 Reorder the terms: -6 + -12u + -20ux + -4x + 10x2 = 6 + -6 + 4x + -4x + -10x2 + 10x2 Combine like terms: 6 + -6 = 0 -6 + -12u + -20ux + -4x + 10x2 = 0 + 4x + -4x + -10x2 + 10x2 -6 + -12u + -20ux + -4x + 10x2 = 4x + -4x + -10x2 + 10x2 Combine like terms: 4x + -4x = 0 -6 + -12u + -20ux + -4x + 10x2 = 0 + -10x2 + 10x2 -6 + -12u + -20ux + -4x + 10x2 = -10x2 + 10x2 Combine like terms: -10x2 + 10x2 = 0 -6 + -12u + -20ux + -4x + 10x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-3 + -6u + -10ux + -2x + 5x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-3 + -6u + -10ux + -2x + 5x2)' equal to zero and attempt to solve: Simplifying -3 + -6u + -10ux + -2x + 5x2 = 0 Solving -3 + -6u + -10ux + -2x + 5x2 = 0 Move all terms containing u to the left, all other terms to the right. Add '3' to each side of the equation. -3 + -6u + -10ux + -2x + 3 + 5x2 = 0 + 3 Reorder the terms: -3 + 3 + -6u + -10ux + -2x + 5x2 = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -6u + -10ux + -2x + 5x2 = 0 + 3 -6u + -10ux + -2x + 5x2 = 0 + 3 Combine like terms: 0 + 3 = 3 -6u + -10ux + -2x + 5x2 = 3 Add '2x' to each side of the equation. -6u + -10ux + -2x + 2x + 5x2 = 3 + 2x Combine like terms: -2x + 2x = 0 -6u + -10ux + 0 + 5x2 = 3 + 2x -6u + -10ux + 5x2 = 3 + 2x Add '-5x2' to each side of the equation. -6u + -10ux + 5x2 + -5x2 = 3 + 2x + -5x2 Combine like terms: 5x2 + -5x2 = 0 -6u + -10ux + 0 = 3 + 2x + -5x2 -6u + -10ux = 3 + 2x + -5x2 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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