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Simplifying 2x + 4yi + 8 = -2x + 2yi + 6i Reorder the terms: 8 + 4iy + 2x = -2x + 2yi + 6i Reorder the terms: 8 + 4iy + 2x = 6i + 2iy + -2x Solving 8 + 4iy + 2x = 6i + 2iy + -2x Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-6i' to each side of the equation. 8 + 4iy + -6i + 2x = 6i + 2iy + -6i + -2x Reorder the terms: 8 + -6i + 4iy + 2x = 6i + 2iy + -6i + -2x Reorder the terms: 8 + -6i + 4iy + 2x = 6i + -6i + 2iy + -2x Combine like terms: 6i + -6i = 0 8 + -6i + 4iy + 2x = 0 + 2iy + -2x 8 + -6i + 4iy + 2x = 2iy + -2x Add '-2iy' to each side of the equation. 8 + -6i + 4iy + -2iy + 2x = 2iy + -2iy + -2x Combine like terms: 4iy + -2iy = 2iy 8 + -6i + 2iy + 2x = 2iy + -2iy + -2x Combine like terms: 2iy + -2iy = 0 8 + -6i + 2iy + 2x = 0 + -2x 8 + -6i + 2iy + 2x = -2x Add '-8' to each side of the equation. 8 + -6i + 2iy + -8 + 2x = -8 + -2x Reorder the terms: 8 + -8 + -6i + 2iy + 2x = -8 + -2x Combine like terms: 8 + -8 = 0 0 + -6i + 2iy + 2x = -8 + -2x -6i + 2iy + 2x = -8 + -2x Add '-2x' to each side of the equation. -6i + 2iy + 2x + -2x = -8 + -2x + -2x Combine like terms: 2x + -2x = 0 -6i + 2iy + 0 = -8 + -2x + -2x -6i + 2iy = -8 + -2x + -2x Combine like terms: -2x + -2x = -4x -6i + 2iy = -8 + -4x Reorder the terms: 8 + -6i + 2iy + 4x = -8 + -4x + 8 + 4x Reorder the terms: 8 + -6i + 2iy + 4x = -8 + 8 + -4x + 4x Combine like terms: -8 + 8 = 0 8 + -6i + 2iy + 4x = 0 + -4x + 4x 8 + -6i + 2iy + 4x = -4x + 4x Combine like terms: -4x + 4x = 0 8 + -6i + 2iy + 4x = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(4 + -3i + iy + 2x) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(4 + -3i + iy + 2x)' equal to zero and attempt to solve: Simplifying 4 + -3i + iy + 2x = 0 Solving 4 + -3i + iy + 2x = 0 Move all terms containing i to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -3i + iy + -4 + 2x = 0 + -4 Reorder the terms: 4 + -4 + -3i + iy + 2x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3i + iy + 2x = 0 + -4 -3i + iy + 2x = 0 + -4 Combine like terms: 0 + -4 = -4 -3i + iy + 2x = -4 Add '-2x' to each side of the equation. -3i + iy + 2x + -2x = -4 + -2x Combine like terms: 2x + -2x = 0 -3i + iy + 0 = -4 + -2x -3i + iy = -4 + -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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