2m+(3n+1)I=6-9i

Solution for 2m+(3n+1)I=6-9i equation:

Simplifying
2m + (3n + 1) * I = 6 + -9i

Reorder the terms:
2m + (1 + 3n) * I = 6 + -9i

Reorder the terms for easier multiplication:
2m + I(1 + 3n) = 6 + -9i
2m + (1 * I + 3n * I) = 6 + -9i
2m + (1I + 3nI) = 6 + -9i

Reorder the terms:
1I + 2m + 3nI = 6 + -9i

Solving
1I + 2m + 3nI = 6 + -9i

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.
1I + 2m + -2m + 3nI = 6 + -9i + -2m

Combine like terms: 2m + -2m = 0
1I + 0 + 3nI = 6 + -9i + -2m
1I + 3nI = 6 + -9i + -2m

Reorder the terms:
-6 + 1I + 9i + 2m + 3nI = 6 + -9i + -2m + -6 + 9i + 2m

Reorder the terms:
-6 + 1I + 9i + 2m + 3nI = 6 + -6 + -9i + 9i + -2m + 2m

Combine like terms: 6 + -6 = 0
-6 + 1I + 9i + 2m + 3nI = 0 + -9i + 9i + -2m + 2m
-6 + 1I + 9i + 2m + 3nI = -9i + 9i + -2m + 2m

Combine like terms: -9i + 9i = 0
-6 + 1I + 9i + 2m + 3nI = 0 + -2m + 2m
-6 + 1I + 9i + 2m + 3nI = -2m + 2m

Combine like terms: -2m + 2m = 0
-6 + 1I + 9i + 2m + 3nI = 0

The solution to this equation could not be determined.