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Simplifying 6ix + -4i + 8 = 0 Reorder the terms: 8 + -4i + 6ix = 0 Solving 8 + -4i + 6ix = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -4i + -8 + 6ix = 0 + -8 Reorder the terms: 8 + -8 + -4i + 6ix = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -4i + 6ix = 0 + -8 -4i + 6ix = 0 + -8 Combine like terms: 0 + -8 = -8 -4i + 6ix = -8 Reorder the terms: 8 + -4i + 6ix = -8 + 8 Combine like terms: -8 + 8 = 0 8 + -4i + 6ix = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(4 + -2i + 3ix) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(4 + -2i + 3ix)' equal to zero and attempt to solve: Simplifying 4 + -2i + 3ix = 0 Solving 4 + -2i + 3ix = 0 Move all terms containing i to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -2i + -4 + 3ix = 0 + -4 Reorder the terms: 4 + -4 + -2i + 3ix = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -2i + 3ix = 0 + -4 -2i + 3ix = 0 + -4 Combine like terms: 0 + -4 = -4 -2i + 3ix = -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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