15-28i=31+(4m)i

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Solution for 15-28i=31+(4m)i equation:


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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