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