(m+2n)+(2m+n)i=6+9i

Solution for (m+2n)+(2m+n)i=6+9i equation:

Simplifying
(m + 2n) + (2m + n) * i = 6 + 9i

Remove parenthesis around (m + 2n)
m + 2n + (2m + n) * i = 6 + 9i

Reorder the terms for easier multiplication:
m + 2n + i(2m + n) = 6 + 9i
m + 2n + (2m * i + n * i) = 6 + 9i
m + 2n + (2im + in) = 6 + 9i

Reorder the terms:
2im + in + m + 2n = 6 + 9i

Solving
2im + in + m + 2n = 6 + 9i

Solving for variable 'i'.

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

Add '-9i' to each side of the equation.
2im + in + m + -9i + 2n = 6 + 9i + -9i

Reorder the terms:
-9i + 2im + in + m + 2n = 6 + 9i + -9i

Combine like terms: 9i + -9i = 0
-9i + 2im + in + m + 2n = 6 + 0
-9i + 2im + in + m + 2n = 6

Add '-1m' to each side of the equation.
-9i + 2im + in + m + -1m + 2n = 6 + -1m

Combine like terms: m + -1m = 0
-9i + 2im + in + 0 + 2n = 6 + -1m
-9i + 2im + in + 2n = 6 + -1m

Add '-2n' to each side of the equation.
-9i + 2im + in + 2n + -2n = 6 + -1m + -2n

Combine like terms: 2n + -2n = 0
-9i + 2im + in + 0 = 6 + -1m + -2n
-9i + 2im + in = 6 + -1m + -2n

Reorder the terms:
-6 + -9i + 2im + in + m + 2n = 6 + -1m + -2n + -6 + m + 2n

Reorder the terms:
-6 + -9i + 2im + in + m + 2n = 6 + -6 + -1m + m + -2n + 2n

Combine like terms: 6 + -6 = 0
-6 + -9i + 2im + in + m + 2n = 0 + -1m + m + -2n + 2n
-6 + -9i + 2im + in + m + 2n = -1m + m + -2n + 2n

Combine like terms: -1m + m = 0
-6 + -9i + 2im + in + m + 2n = 0 + -2n + 2n
-6 + -9i + 2im + in + m + 2n = -2n + 2n

Combine like terms: -2n + 2n = 0
-6 + -9i + 2im + in + m + 2n = 0

The solution to this equation could not be determined.