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