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Simplifying 15 + -28i = 31 + (4m) * i Remove parenthesis around (4m) 15 + -28i = 31 + 4m * i Multiply m * i 15 + -28i = 31 + 4im Solving 15 + -28i = 31 + 4im Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-4im' to each side of the equation. 15 + -28i + -4im = 31 + 4im + -4im Combine like terms: 4im + -4im = 0 15 + -28i + -4im = 31 + 0 15 + -28i + -4im = 31 Add '-15' to each side of the equation. 15 + -28i + -15 + -4im = 31 + -15 Reorder the terms: 15 + -15 + -28i + -4im = 31 + -15 Combine like terms: 15 + -15 = 0 0 + -28i + -4im = 31 + -15 -28i + -4im = 31 + -15 Combine like terms: 31 + -15 = 16 -28i + -4im = 16 Reorder the terms: -16 + -28i + -4im = 16 + -16 Combine like terms: 16 + -16 = 0 -16 + -28i + -4im = 0 Factor out the Greatest Common Factor (GCF), '-4'. -4(4 + 7i + im) = 0 Ignore the factor -4.Subproblem 1
Set the factor '(4 + 7i + im)' equal to zero and attempt to solve: Simplifying 4 + 7i + im = 0 Solving 4 + 7i + im = 0 Move all terms containing i to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + 7i + -4 + im = 0 + -4 Reorder the terms: 4 + -4 + 7i + im = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 7i + im = 0 + -4 7i + im = 0 + -4 Combine like terms: 0 + -4 = -4 7i + im = -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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