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