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Simplifying 2x + 4yi = -16 + 12i Reorder the terms: 4iy + 2x = -16 + 12i Solving 4iy + 2x = -16 + 12i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-12i' to each side of the equation. 4iy + -12i + 2x = -16 + 12i + -12i Reorder the terms: -12i + 4iy + 2x = -16 + 12i + -12i Combine like terms: 12i + -12i = 0 -12i + 4iy + 2x = -16 + 0 -12i + 4iy + 2x = -16 Add '-2x' to each side of the equation. -12i + 4iy + 2x + -2x = -16 + -2x Combine like terms: 2x + -2x = 0 -12i + 4iy + 0 = -16 + -2x -12i + 4iy = -16 + -2x Reorder the terms: 16 + -12i + 4iy + 2x = -16 + -2x + 16 + 2x Reorder the terms: 16 + -12i + 4iy + 2x = -16 + 16 + -2x + 2x Combine like terms: -16 + 16 = 0 16 + -12i + 4iy + 2x = 0 + -2x + 2x 16 + -12i + 4iy + 2x = -2x + 2x Combine like terms: -2x + 2x = 0 16 + -12i + 4iy + 2x = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(8 + -6i + 2iy + x) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(8 + -6i + 2iy + x)' equal to zero and attempt to solve: Simplifying 8 + -6i + 2iy + x = 0 Solving 8 + -6i + 2iy + x = 0 Move all terms containing i to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -6i + 2iy + -8 + x = 0 + -8 Reorder the terms: 8 + -8 + -6i + 2iy + x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -6i + 2iy + x = 0 + -8 -6i + 2iy + x = 0 + -8 Combine like terms: 0 + -8 = -8 -6i + 2iy + x = -8 Add '-1x' to each side of the equation. -6i + 2iy + x + -1x = -8 + -1x Combine like terms: x + -1x = 0 -6i + 2iy + 0 = -8 + -1x -6i + 2iy = -8 + -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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