(x-(1-i))*(x(1+i))=0

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Solution for (x-(1-i))*(x(1+i))=0 equation:


Simplifying
(x + -1(1 + -1i))(x(1 + i)) = 0
(x + (1 * -1 + -1i * -1))(x(1 + i)) = 0
(x + (-1 + 1i))(x(1 + i)) = 0

Reorder the terms:
(-1 + 1i + x)(x(1 + i)) = 0
(-1 + 1i + x)((1 * x + i * x)) = 0

Reorder the terms:
(-1 + 1i + x)((ix + 1x)) = 0
(-1 + 1i + x)((ix + 1x)) = 0

Multiply (-1 + 1i + x) * (ix + 1x)
(-1(ix + 1x) + 1i * (ix + 1x) + x(ix + 1x)) = 0
((ix * -1 + 1x * -1) + 1i * (ix + 1x) + x(ix + 1x)) = 0
((-1ix + -1x) + 1i * (ix + 1x) + x(ix + 1x)) = 0
(-1ix + -1x + (ix * 1i + 1x * 1i) + x(ix + 1x)) = 0

Reorder the terms:
(-1ix + -1x + (1ix + 1i2x) + x(ix + 1x)) = 0
(-1ix + -1x + (1ix + 1i2x) + x(ix + 1x)) = 0
(-1ix + -1x + 1ix + 1i2x + (ix * x + 1x * x)) = 0
(-1ix + -1x + 1ix + 1i2x + (ix2 + 1x2)) = 0

Reorder the terms:
(-1ix + 1ix + ix2 + 1i2x + -1x + 1x2) = 0

Combine like terms: -1ix + 1ix = 0
(0 + ix2 + 1i2x + -1x + 1x2) = 0
(ix2 + 1i2x + -1x + 1x2) = 0

Solving
ix2 + 1i2x + -1x + 1x2 = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(ix + i2 + -1 + x) = 0

Subproblem 1

Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing i to the left, all other terms to the right. Add '-1x' to each side of the equation. x + -1x = 0 + -1x Remove the zero: 0 = -1x Simplifying 0 = -1x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(ix + i2 + -1 + x)' equal to zero and attempt to solve: Simplifying ix + i2 + -1 + x = 0 Reorder the terms: -1 + ix + i2 + x = 0 Solving -1 + ix + i2 + x = 0 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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