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Simplifying 6x + -2yi = 6 + 8i Reorder the terms: -2iy + 6x = 6 + 8i Solving -2iy + 6x = 6 + 8i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-8i' to each side of the equation. -2iy + -8i + 6x = 6 + 8i + -8i Reorder the terms: -8i + -2iy + 6x = 6 + 8i + -8i Combine like terms: 8i + -8i = 0 -8i + -2iy + 6x = 6 + 0 -8i + -2iy + 6x = 6 Add '-6x' to each side of the equation. -8i + -2iy + 6x + -6x = 6 + -6x Combine like terms: 6x + -6x = 0 -8i + -2iy + 0 = 6 + -6x -8i + -2iy = 6 + -6x Reorder the terms: -6 + -8i + -2iy + 6x = 6 + -6x + -6 + 6x Reorder the terms: -6 + -8i + -2iy + 6x = 6 + -6 + -6x + 6x Combine like terms: 6 + -6 = 0 -6 + -8i + -2iy + 6x = 0 + -6x + 6x -6 + -8i + -2iy + 6x = -6x + 6x Combine like terms: -6x + 6x = 0 -6 + -8i + -2iy + 6x = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-3 + -4i + -1iy + 3x) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-3 + -4i + -1iy + 3x)' equal to zero and attempt to solve: Simplifying -3 + -4i + -1iy + 3x = 0 Solving -3 + -4i + -1iy + 3x = 0 Move all terms containing i to the left, all other terms to the right. Add '3' to each side of the equation. -3 + -4i + -1iy + 3 + 3x = 0 + 3 Reorder the terms: -3 + 3 + -4i + -1iy + 3x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -4i + -1iy + 3x = 0 + 3 -4i + -1iy + 3x = 0 + 3 Combine like terms: 0 + 3 = 3 -4i + -1iy + 3x = 3 Add '-3x' to each side of the equation. -4i + -1iy + 3x + -3x = 3 + -3x Combine like terms: 3x + -3x = 0 -4i + -1iy + 0 = 3 + -3x -4i + -1iy = 3 + -3x 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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