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