(4m+2)+(3-n)i=6-9i

Solution for (4m+2)+(3-n)i=6-9i equation:

Simplifying
(4m + 2) + (3 + -1n) * i = 6 + -9i

Reorder the terms:
(2 + 4m) + (3 + -1n) * i = 6 + -9i

Remove parenthesis around (2 + 4m)
2 + 4m + (3 + -1n) * i = 6 + -9i

Reorder the terms for easier multiplication:
2 + 4m + i(3 + -1n) = 6 + -9i
2 + 4m + (3 * i + -1n * i) = 6 + -9i
2 + 4m + (3i + -1in) = 6 + -9i

Reorder the terms:
2 + 3i + -1in + 4m = 6 + -9i

Solving
2 + 3i + -1in + 4m = 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.
2 + 3i + -1in + 9i + 4m = 6 + -9i + 9i

Reorder the terms:
2 + 3i + 9i + -1in + 4m = 6 + -9i + 9i

Combine like terms: 3i + 9i = 12i
2 + 12i + -1in + 4m = 6 + -9i + 9i

Combine like terms: -9i + 9i = 0
2 + 12i + -1in + 4m = 6 + 0
2 + 12i + -1in + 4m = 6

Add '-2' to each side of the equation.
2 + 12i + -1in + -2 + 4m = 6 + -2

Reorder the terms:
2 + -2 + 12i + -1in + 4m = 6 + -2

Combine like terms: 2 + -2 = 0
0 + 12i + -1in + 4m = 6 + -2
12i + -1in + 4m = 6 + -2

Combine like terms: 6 + -2 = 4
12i + -1in + 4m = 4

Add '-4m' to each side of the equation.
12i + -1in + 4m + -4m = 4 + -4m

Combine like terms: 4m + -4m = 0
12i + -1in + 0 = 4 + -4m
12i + -1in = 4 + -4m

Reorder the terms:
-4 + 12i + -1in + 4m = 4 + -4m + -4 + 4m

Reorder the terms:
-4 + 12i + -1in + 4m = 4 + -4 + -4m + 4m

Combine like terms: 4 + -4 = 0
-4 + 12i + -1in + 4m = 0 + -4m + 4m
-4 + 12i + -1in + 4m = -4m + 4m

Combine like terms: -4m + 4m = 0
-4 + 12i + -1in + 4m = 0

The solution to this equation could not be determined.