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