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