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Simplifying (X + -2)(x(1 + -1I))(x(1 + 1)) = 0 Reorder the terms: (-2 + X)(x(1 + -1I))(x(1 + 1)) = 0 (-2 + X)((1 * x + -1I * x))(x(1 + 1)) = 0 (-2 + X)((1x + -1xI))(x(1 + 1)) = 0 Combine like terms: 1 + 1 = 2 (-2 + X)(1x + -1xI)(x(2)) = 0 Reorder the terms for easier multiplication: (-2 + X)(1x + -1xI)(2x) = 0 Remove parenthesis around (2x) (-2 + X)(1x + -1xI) * 2x = 0 Reorder the terms for easier multiplication: 2x(-2 + X)(1x + -1xI) = 0 Multiply (-2 + X) * (1x + -1xI) 2x(-2(1x + -1xI) + X(1x + -1xI)) = 0 2x((1x * -2 + -1xI * -2) + X(1x + -1xI)) = 0 2x((-2x + 2xI) + X(1x + -1xI)) = 0 2x(-2x + 2xI + (1x * X + -1xI * X)) = 0 Reorder the terms: 2x(-2x + 2xI + (-1xIX + 1xX)) = 0 2x(-2x + 2xI + (-1xIX + 1xX)) = 0 2x(-2x + 2xI + -1xIX + 1xX) = 0 (-2x * 2x + 2xI * 2x + -1xIX * 2x + 1xX * 2x) = 0 (-4x2 + 4x2I + -2x2IX + 2x2X) = 0 Solving -4x2 + 4x2I + -2x2IX + 2x2X = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '2x2'. 2x2(-2 + 2I + -1IX + X) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}Subproblem 2
Set the factor '(-2 + 2I + -1IX + X)' equal to zero and attempt to solve: Simplifying -2 + 2I + -1IX + X = 0 Solving -2 + 2I + -1IX + X = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2I + -1IX + 2 + X = 0 + 2 Reorder the terms: -2 + 2 + 2I + -1IX + X = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 2I + -1IX + X = 0 + 2 2I + -1IX + X = 0 + 2 Combine like terms: 0 + 2 = 2 2I + -1IX + X = 2 Add '-2I' to each side of the equation. 2I + -1IX + -2I + X = 2 + -2I Reorder the terms: 2I + -2I + -1IX + X = 2 + -2I Combine like terms: 2I + -2I = 0 0 + -1IX + X = 2 + -2I -1IX + X = 2 + -2I Add 'IX' to each side of the equation. -1IX + IX + X = 2 + -2I + IX Combine like terms: -1IX + IX = 0 0 + X = 2 + -2I + IX X = 2 + -2I + IX Add '-1X' to each side of the equation. X + -1X = 2 + -2I + IX + -1X Combine like terms: X + -1X = 0 0 = 2 + -2I + IX + -1X Simplifying 0 = 2 + -2I + IX + -1X The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
x = {0}
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