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