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Simplifying 2xi + 7 + -1i = 11 + 4xi Reorder the terms: 7 + -1i + 2ix = 11 + 4xi Solving 7 + -1i + 2ix = 11 + 4ix Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-4ix' to each side of the equation. 7 + -1i + 2ix + -4ix = 11 + 4ix + -4ix Combine like terms: 2ix + -4ix = -2ix 7 + -1i + -2ix = 11 + 4ix + -4ix Combine like terms: 4ix + -4ix = 0 7 + -1i + -2ix = 11 + 0 7 + -1i + -2ix = 11 Add '-7' to each side of the equation. 7 + -1i + -7 + -2ix = 11 + -7 Reorder the terms: 7 + -7 + -1i + -2ix = 11 + -7 Combine like terms: 7 + -7 = 0 0 + -1i + -2ix = 11 + -7 -1i + -2ix = 11 + -7 Combine like terms: 11 + -7 = 4 -1i + -2ix = 4 Reorder the terms: -4 + -1i + -2ix = 4 + -4 Combine like terms: 4 + -4 = 0 -4 + -1i + -2ix = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(4 + i + 2ix) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(4 + i + 2ix)' equal to zero and attempt to solve: Simplifying 4 + i + 2ix = 0 Solving 4 + i + 2ix = 0 Move all terms containing i to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + i + -4 + 2ix = 0 + -4 Reorder the terms: 4 + -4 + i + 2ix = 0 + -4 Combine like terms: 4 + -4 = 0 0 + i + 2ix = 0 + -4 i + 2ix = 0 + -4 Combine like terms: 0 + -4 = -4 i + 2ix = -4 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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