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Simplifying 3x + 6yi = 24 + 18i Reorder the terms: 6iy + 3x = 24 + 18i Solving 6iy + 3x = 24 + 18i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-18i' to each side of the equation. 6iy + -18i + 3x = 24 + 18i + -18i Reorder the terms: -18i + 6iy + 3x = 24 + 18i + -18i Combine like terms: 18i + -18i = 0 -18i + 6iy + 3x = 24 + 0 -18i + 6iy + 3x = 24 Add '-3x' to each side of the equation. -18i + 6iy + 3x + -3x = 24 + -3x Combine like terms: 3x + -3x = 0 -18i + 6iy + 0 = 24 + -3x -18i + 6iy = 24 + -3x Reorder the terms: -24 + -18i + 6iy + 3x = 24 + -3x + -24 + 3x Reorder the terms: -24 + -18i + 6iy + 3x = 24 + -24 + -3x + 3x Combine like terms: 24 + -24 = 0 -24 + -18i + 6iy + 3x = 0 + -3x + 3x -24 + -18i + 6iy + 3x = -3x + 3x Combine like terms: -3x + 3x = 0 -24 + -18i + 6iy + 3x = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-8 + -6i + 2iy + x) = 0 Ignore the factor 3.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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