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Simplifying 4 + 8xi = 12y + 56i Reorder the terms: 4 + 8ix = 56i + 12y Solving 4 + 8ix = 56i + 12y Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-56i' to each side of the equation. 4 + -56i + 8ix = 56i + -56i + 12y Combine like terms: 56i + -56i = 0 4 + -56i + 8ix = 0 + 12y 4 + -56i + 8ix = 12y Add '-4' to each side of the equation. 4 + -56i + -4 + 8ix = -4 + 12y Reorder the terms: 4 + -4 + -56i + 8ix = -4 + 12y Combine like terms: 4 + -4 = 0 0 + -56i + 8ix = -4 + 12y -56i + 8ix = -4 + 12y Reorder the terms: 4 + -56i + 8ix + -12y = -4 + 12y + 4 + -12y Reorder the terms: 4 + -56i + 8ix + -12y = -4 + 4 + 12y + -12y Combine like terms: -4 + 4 = 0 4 + -56i + 8ix + -12y = 0 + 12y + -12y 4 + -56i + 8ix + -12y = 12y + -12y Combine like terms: 12y + -12y = 0 4 + -56i + 8ix + -12y = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(1 + -14i + 2ix + -3y) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(1 + -14i + 2ix + -3y)' equal to zero and attempt to solve: Simplifying 1 + -14i + 2ix + -3y = 0 Solving 1 + -14i + 2ix + -3y = 0 Move all terms containing i to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -14i + 2ix + -1 + -3y = 0 + -1 Reorder the terms: 1 + -1 + -14i + 2ix + -3y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -14i + 2ix + -3y = 0 + -1 -14i + 2ix + -3y = 0 + -1 Combine like terms: 0 + -1 = -1 -14i + 2ix + -3y = -1 Add '3y' to each side of the equation. -14i + 2ix + -3y + 3y = -1 + 3y Combine like terms: -3y + 3y = 0 -14i + 2ix + 0 = -1 + 3y -14i + 2ix = -1 + 3y 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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