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Simplifying 4x + -2yi = 4 + 8i Reorder the terms: -2iy + 4x = 4 + 8i Solving -2iy + 4x = 4 + 8i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-8i' to each side of the equation. -2iy + -8i + 4x = 4 + 8i + -8i Reorder the terms: -8i + -2iy + 4x = 4 + 8i + -8i Combine like terms: 8i + -8i = 0 -8i + -2iy + 4x = 4 + 0 -8i + -2iy + 4x = 4 Add '-4x' to each side of the equation. -8i + -2iy + 4x + -4x = 4 + -4x Combine like terms: 4x + -4x = 0 -8i + -2iy + 0 = 4 + -4x -8i + -2iy = 4 + -4x Reorder the terms: -4 + -8i + -2iy + 4x = 4 + -4x + -4 + 4x Reorder the terms: -4 + -8i + -2iy + 4x = 4 + -4 + -4x + 4x Combine like terms: 4 + -4 = 0 -4 + -8i + -2iy + 4x = 0 + -4x + 4x -4 + -8i + -2iy + 4x = -4x + 4x Combine like terms: -4x + 4x = 0 -4 + -8i + -2iy + 4x = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-2 + -4i + -1iy + 2x) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-2 + -4i + -1iy + 2x)' equal to zero and attempt to solve: Simplifying -2 + -4i + -1iy + 2x = 0 Solving -2 + -4i + -1iy + 2x = 0 Move all terms containing i to the left, all other terms to the right. Add '2' to each side of the equation. -2 + -4i + -1iy + 2 + 2x = 0 + 2 Reorder the terms: -2 + 2 + -4i + -1iy + 2x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -4i + -1iy + 2x = 0 + 2 -4i + -1iy + 2x = 0 + 2 Combine like terms: 0 + 2 = 2 -4i + -1iy + 2x = 2 Add '-2x' to each side of the equation. -4i + -1iy + 2x + -2x = 2 + -2x Combine like terms: 2x + -2x = 0 -4i + -1iy + 0 = 2 + -2x -4i + -1iy = 2 + -2x 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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