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