(2m+n)+(m-6n)i=7-1

Solution for (2m+n)+(m-6n)i=7-1 equation:

Simplifying
(2m + n) + (m + -6n) * i = 7 + -1

Remove parenthesis around (2m + n)
2m + n + (m + -6n) * i = 7 + -1

Reorder the terms for easier multiplication:
2m + n + i(m + -6n) = 7 + -1
2m + n + (m * i + -6n * i) = 7 + -1
2m + n + (im + -6in) = 7 + -1

Reorder the terms:
im + -6in + 2m + n = 7 + -1

Combine like terms: 7 + -1 = 6
im + -6in + 2m + n = 6

Solving
im + -6in + 2m + n = 6

Solving for variable 'i'.

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

Add '-2m' to each side of the equation.
im + -6in + 2m + -2m + n = 6 + -2m

Combine like terms: 2m + -2m = 0
im + -6in + 0 + n = 6 + -2m
im + -6in + n = 6 + -2m

Add '-1n' to each side of the equation.
im + -6in + n + -1n = 6 + -2m + -1n

Combine like terms: n + -1n = 0
im + -6in + 0 = 6 + -2m + -1n
im + -6in = 6 + -2m + -1n

Reorder the terms:
-6 + im + -6in + 2m + n = 6 + -2m + -1n + -6 + 2m + n

Reorder the terms:
-6 + im + -6in + 2m + n = 6 + -6 + -2m + 2m + -1n + n

Combine like terms: 6 + -6 = 0
-6 + im + -6in + 2m + n = 0 + -2m + 2m + -1n + n
-6 + im + -6in + 2m + n = -2m + 2m + -1n + n

Combine like terms: -2m + 2m = 0
-6 + im + -6in + 2m + n = 0 + -1n + n
-6 + im + -6in + 2m + n = -1n + n

Combine like terms: -1n + n = 0
-6 + im + -6in + 2m + n = 0

The solution to this equation could not be determined.