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Simplifying 3 + -3i = -6x + 12yi Reorder the terms: 3 + -3i = 12iy + -6x Solving 3 + -3i = 12iy + -6x Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-12iy' to each side of the equation. 3 + -3i + -12iy = 12iy + -12iy + -6x Combine like terms: 12iy + -12iy = 0 3 + -3i + -12iy = 0 + -6x 3 + -3i + -12iy = -6x Add '-3' to each side of the equation. 3 + -3i + -3 + -12iy = -3 + -6x Reorder the terms: 3 + -3 + -3i + -12iy = -3 + -6x Combine like terms: 3 + -3 = 0 0 + -3i + -12iy = -3 + -6x -3i + -12iy = -3 + -6x Reorder the terms: 3 + -3i + -12iy + 6x = -3 + -6x + 3 + 6x Reorder the terms: 3 + -3i + -12iy + 6x = -3 + 3 + -6x + 6x Combine like terms: -3 + 3 = 0 3 + -3i + -12iy + 6x = 0 + -6x + 6x 3 + -3i + -12iy + 6x = -6x + 6x Combine like terms: -6x + 6x = 0 3 + -3i + -12iy + 6x = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(1 + -1i + -4iy + 2x) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(1 + -1i + -4iy + 2x)' equal to zero and attempt to solve: Simplifying 1 + -1i + -4iy + 2x = 0 Solving 1 + -1i + -4iy + 2x = 0 Move all terms containing i to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1i + -4iy + -1 + 2x = 0 + -1 Reorder the terms: 1 + -1 + -1i + -4iy + 2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1i + -4iy + 2x = 0 + -1 -1i + -4iy + 2x = 0 + -1 Combine like terms: 0 + -1 = -1 -1i + -4iy + 2x = -1 Add '-2x' to each side of the equation. -1i + -4iy + 2x + -2x = -1 + -2x Combine like terms: 2x + -2x = 0 -1i + -4iy + 0 = -1 + -2x -1i + -4iy = -1 + -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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