(m+n)+(m-n)i=4+2i

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Solution for (m+n)+(m-n)i=4+2i equation: 


Simplifying
(m + n) + (m + -1n) * i = 4 + 2i

Remove parenthesis around (m + n)
m + n + (m + -1n) * i = 4 + 2i

Reorder the terms for easier multiplication:
m + n + i(m + -1n) = 4 + 2i
m + n + (m * i + -1n * i) = 4 + 2i
m + n + (im + -1in) = 4 + 2i

Reorder the terms:
im + -1in + m + n = 4 + 2i

Solving
im + -1in + m + n = 4 + 2i

Solving for variable 'i'.

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

Add '-2i' to each side of the equation.
im + -1in + m + -2i + n = 4 + 2i + -2i

Reorder the terms:
-2i + im + -1in + m + n = 4 + 2i + -2i

Combine like terms: 2i + -2i = 0
-2i + im + -1in + m + n = 4 + 0
-2i + im + -1in + m + n = 4

Add '-1m' to each side of the equation.
-2i + im + -1in + m + -1m + n = 4 + -1m

Combine like terms: m + -1m = 0
-2i + im + -1in + 0 + n = 4 + -1m
-2i + im + -1in + n = 4 + -1m

Add '-1n' to each side of the equation.
-2i + im + -1in + n + -1n = 4 + -1m + -1n

Combine like terms: n + -1n = 0
-2i + im + -1in + 0 = 4 + -1m + -1n
-2i + im + -1in = 4 + -1m + -1n

Reorder the terms:
-4 + -2i + im + -1in + m + n = 4 + -1m + -1n + -4 + m + n

Reorder the terms:
-4 + -2i + im + -1in + m + n = 4 + -4 + -1m + m + -1n + n

Combine like terms: 4 + -4 = 0
-4 + -2i + im + -1in + m + n = 0 + -1m + m + -1n + n
-4 + -2i + im + -1in + m + n = -1m + m + -1n + n

Combine like terms: -1m + m = 0
-4 + -2i + im + -1in + m + n = 0 + -1n + n
-4 + -2i + im + -1in + m + n = -1n + n

Combine like terms: -1n + n = 0
-4 + -2i + im + -1in + m + n = 0

The solution to this equation could not be determined.

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