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Simplifying 4x + 8iy = 12 + -16i Reorder the terms: 8iy + 4x = 12 + -16i Solving 8iy + 4x = 12 + -16i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '16i' to each side of the equation. 8iy + 16i + 4x = 12 + -16i + 16i Reorder the terms: 16i + 8iy + 4x = 12 + -16i + 16i Combine like terms: -16i + 16i = 0 16i + 8iy + 4x = 12 + 0 16i + 8iy + 4x = 12 Add '-4x' to each side of the equation. 16i + 8iy + 4x + -4x = 12 + -4x Combine like terms: 4x + -4x = 0 16i + 8iy + 0 = 12 + -4x 16i + 8iy = 12 + -4x Reorder the terms: -12 + 16i + 8iy + 4x = 12 + -4x + -12 + 4x Reorder the terms: -12 + 16i + 8iy + 4x = 12 + -12 + -4x + 4x Combine like terms: 12 + -12 = 0 -12 + 16i + 8iy + 4x = 0 + -4x + 4x -12 + 16i + 8iy + 4x = -4x + 4x Combine like terms: -4x + 4x = 0 -12 + 16i + 8iy + 4x = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-3 + 4i + 2iy + x) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-3 + 4i + 2iy + x)' equal to zero and attempt to solve: Simplifying -3 + 4i + 2iy + x = 0 Solving -3 + 4i + 2iy + x = 0 Move all terms containing i to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 4i + 2iy + 3 + x = 0 + 3 Reorder the terms: -3 + 3 + 4i + 2iy + x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 4i + 2iy + x = 0 + 3 4i + 2iy + x = 0 + 3 Combine like terms: 0 + 3 = 3 4i + 2iy + x = 3 Add '-1x' to each side of the equation. 4i + 2iy + x + -1x = 3 + -1x Combine like terms: x + -1x = 0 4i + 2iy + 0 = 3 + -1x 4i + 2iy = 3 + -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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