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