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