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Simplifying 8 + -2yi = 4x + 12i Reorder the terms: 8 + -2iy = 12i + 4x Solving 8 + -2iy = 12i + 4x Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-12i' to each side of the equation. 8 + -12i + -2iy = 12i + -12i + 4x Combine like terms: 12i + -12i = 0 8 + -12i + -2iy = 0 + 4x 8 + -12i + -2iy = 4x Add '-8' to each side of the equation. 8 + -12i + -8 + -2iy = -8 + 4x Reorder the terms: 8 + -8 + -12i + -2iy = -8 + 4x Combine like terms: 8 + -8 = 0 0 + -12i + -2iy = -8 + 4x -12i + -2iy = -8 + 4x Reorder the terms: 8 + -12i + -2iy + -4x = -8 + 4x + 8 + -4x Reorder the terms: 8 + -12i + -2iy + -4x = -8 + 8 + 4x + -4x Combine like terms: -8 + 8 = 0 8 + -12i + -2iy + -4x = 0 + 4x + -4x 8 + -12i + -2iy + -4x = 4x + -4x Combine like terms: 4x + -4x = 0 8 + -12i + -2iy + -4x = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(4 + -6i + -1iy + -2x) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(4 + -6i + -1iy + -2x)' equal to zero and attempt to solve: Simplifying 4 + -6i + -1iy + -2x = 0 Solving 4 + -6i + -1iy + -2x = 0 Move all terms containing i to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -6i + -1iy + -4 + -2x = 0 + -4 Reorder the terms: 4 + -4 + -6i + -1iy + -2x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -6i + -1iy + -2x = 0 + -4 -6i + -1iy + -2x = 0 + -4 Combine like terms: 0 + -4 = -4 -6i + -1iy + -2x = -4 Add '2x' to each side of the equation. -6i + -1iy + -2x + 2x = -4 + 2x Combine like terms: -2x + 2x = 0 -6i + -1iy + 0 = -4 + 2x -6i + -1iy = -4 + 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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