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Simplifying (4 + 1) + (2m) * i = 9 + 14i Combine like terms: 4 + 1 = 5 (5) + (2m) * i = 9 + 14i 5 + (2m) * i = 9 + 14i Remove parenthesis around (2m) 5 + 2m * i = 9 + 14i Multiply m * i 5 + 2im = 9 + 14i Solving 5 + 2im = 9 + 14i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-14i' to each side of the equation. 5 + -14i + 2im = 9 + 14i + -14i Combine like terms: 14i + -14i = 0 5 + -14i + 2im = 9 + 0 5 + -14i + 2im = 9 Add '-5' to each side of the equation. 5 + -14i + -5 + 2im = 9 + -5 Reorder the terms: 5 + -5 + -14i + 2im = 9 + -5 Combine like terms: 5 + -5 = 0 0 + -14i + 2im = 9 + -5 -14i + 2im = 9 + -5 Combine like terms: 9 + -5 = 4 -14i + 2im = 4 Reorder the terms: -4 + -14i + 2im = 4 + -4 Combine like terms: 4 + -4 = 0 -4 + -14i + 2im = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-2 + -7i + im) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-2 + -7i + im)' equal to zero and attempt to solve: Simplifying -2 + -7i + im = 0 Solving -2 + -7i + im = 0 Move all terms containing i to the left, all other terms to the right. Add '2' to each side of the equation. -2 + -7i + 2 + im = 0 + 2 Reorder the terms: -2 + 2 + -7i + im = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -7i + im = 0 + 2 -7i + im = 0 + 2 Combine like terms: 0 + 2 = 2 -7i + im = 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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