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Simplifying 6ix + -9 = 3i Reorder the terms: -9 + 6ix = 3i Solving -9 + 6ix = 3i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-3i' to each side of the equation. -9 + -3i + 6ix = 3i + -3i Combine like terms: 3i + -3i = 0 -9 + -3i + 6ix = 0 Add '9' to each side of the equation. -9 + -3i + 9 + 6ix = 0 + 9 Reorder the terms: -9 + 9 + -3i + 6ix = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -3i + 6ix = 0 + 9 -3i + 6ix = 0 + 9 Combine like terms: 0 + 9 = 9 -3i + 6ix = 9 Reorder the terms: -9 + -3i + 6ix = 9 + -9 Combine like terms: 9 + -9 = 0 -9 + -3i + 6ix = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-3 + -1i + 2ix) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-3 + -1i + 2ix)' equal to zero and attempt to solve: Simplifying -3 + -1i + 2ix = 0 Solving -3 + -1i + 2ix = 0 Move all terms containing i to the left, all other terms to the right. Add '3' to each side of the equation. -3 + -1i + 3 + 2ix = 0 + 3 Reorder the terms: -3 + 3 + -1i + 2ix = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1i + 2ix = 0 + 3 -1i + 2ix = 0 + 3 Combine like terms: 0 + 3 = 3 -1i + 2ix = 3 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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