(3m+4)+(3-n)i=16-3iform

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Solution for (3m+4)+(3-n)i=16-3iform equation:


Simplifying
(3m + 4) + (3 + -1n) * i = 16 + -3iform

Reorder the terms:
(4 + 3m) + (3 + -1n) * i = 16 + -3iform

Remove parenthesis around (4 + 3m)
4 + 3m + (3 + -1n) * i = 16 + -3iform

Reorder the terms for easier multiplication:
4 + 3m + i(3 + -1n) = 16 + -3iform
4 + 3m + (3 * i + -1n * i) = 16 + -3iform
4 + 3m + (3i + -1in) = 16 + -3iform

Reorder the terms:
4 + 3i + -1in + 3m = 16 + -3iform

Solving
4 + 3i + -1in + 3m = 16 + -3fimor

Solving for variable 'i'.

Move all terms containing i to the left, all other terms to the right.

Add '3fimor' to each side of the equation.
4 + 3i + -1in + 3fimor + 3m = 16 + -3fimor + 3fimor

Reorder the terms:
4 + 3fimor + 3i + -1in + 3m = 16 + -3fimor + 3fimor

Combine like terms: -3fimor + 3fimor = 0
4 + 3fimor + 3i + -1in + 3m = 16 + 0
4 + 3fimor + 3i + -1in + 3m = 16

Add '-4' to each side of the equation.
4 + 3fimor + 3i + -1in + -4 + 3m = 16 + -4

Reorder the terms:
4 + -4 + 3fimor + 3i + -1in + 3m = 16 + -4

Combine like terms: 4 + -4 = 0
0 + 3fimor + 3i + -1in + 3m = 16 + -4
3fimor + 3i + -1in + 3m = 16 + -4

Combine like terms: 16 + -4 = 12
3fimor + 3i + -1in + 3m = 12

Add '-3m' to each side of the equation.
3fimor + 3i + -1in + 3m + -3m = 12 + -3m

Combine like terms: 3m + -3m = 0
3fimor + 3i + -1in + 0 = 12 + -3m
3fimor + 3i + -1in = 12 + -3m

Reorder the terms:
-12 + 3fimor + 3i + -1in + 3m = 12 + -3m + -12 + 3m

Reorder the terms:
-12 + 3fimor + 3i + -1in + 3m = 12 + -12 + -3m + 3m

Combine like terms: 12 + -12 = 0
-12 + 3fimor + 3i + -1in + 3m = 0 + -3m + 3m
-12 + 3fimor + 3i + -1in + 3m = -3m + 3m

Combine like terms: -3m + 3m = 0
-12 + 3fimor + 3i + -1in + 3m = 0

The solution to this equation could not be determined.

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