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