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Simplifying 6x + 3yi = 24 + 48i Reorder the terms: 3iy + 6x = 24 + 48i Solving 3iy + 6x = 24 + 48i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-48i' to each side of the equation. 3iy + -48i + 6x = 24 + 48i + -48i Reorder the terms: -48i + 3iy + 6x = 24 + 48i + -48i Combine like terms: 48i + -48i = 0 -48i + 3iy + 6x = 24 + 0 -48i + 3iy + 6x = 24 Add '-6x' to each side of the equation. -48i + 3iy + 6x + -6x = 24 + -6x Combine like terms: 6x + -6x = 0 -48i + 3iy + 0 = 24 + -6x -48i + 3iy = 24 + -6x Reorder the terms: -24 + -48i + 3iy + 6x = 24 + -6x + -24 + 6x Reorder the terms: -24 + -48i + 3iy + 6x = 24 + -24 + -6x + 6x Combine like terms: 24 + -24 = 0 -24 + -48i + 3iy + 6x = 0 + -6x + 6x -24 + -48i + 3iy + 6x = -6x + 6x Combine like terms: -6x + 6x = 0 -24 + -48i + 3iy + 6x = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-8 + -16i + iy + 2x) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-8 + -16i + iy + 2x)' equal to zero and attempt to solve: Simplifying -8 + -16i + iy + 2x = 0 Solving -8 + -16i + iy + 2x = 0 Move all terms containing i to the left, all other terms to the right. Add '8' to each side of the equation. -8 + -16i + iy + 8 + 2x = 0 + 8 Reorder the terms: -8 + 8 + -16i + iy + 2x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -16i + iy + 2x = 0 + 8 -16i + iy + 2x = 0 + 8 Combine like terms: 0 + 8 = 8 -16i + iy + 2x = 8 Add '-2x' to each side of the equation. -16i + iy + 2x + -2x = 8 + -2x Combine like terms: 2x + -2x = 0 -16i + iy + 0 = 8 + -2x -16i + iy = 8 + -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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