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