(6-l)+(3m)i=-12i+27i

Solution for (6-l)+(3m)i=-12i+27i equation:

Simplifying
(6 + -1l) + (3m) * i = -12i + 27i

Remove parenthesis around (6 + -1l)
6 + -1l + (3m) * i = -12i + 27i

Remove parenthesis around (3m)
6 + -1l + 3m * i = -12i + 27i

Multiply m * i
6 + -1l + 3im = -12i + 27i

Reorder the terms:
6 + 3im + -1l = -12i + 27i

Combine like terms: -12i + 27i = 15i
6 + 3im + -1l = 15i

Solving
6 + 3im + -1l = 15i

Solving for variable 'i'.

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

Add '-15i' to each side of the equation.
6 + 3im + -15i + -1l = 15i + -15i

Reorder the terms:
6 + -15i + 3im + -1l = 15i + -15i

Combine like terms: 15i + -15i = 0
6 + -15i + 3im + -1l = 0

Add '-6' to each side of the equation.
6 + -15i + 3im + -6 + -1l = 0 + -6

Reorder the terms:
6 + -6 + -15i + 3im + -1l = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -15i + 3im + -1l = 0 + -6
-15i + 3im + -1l = 0 + -6

Combine like terms: 0 + -6 = -6
-15i + 3im + -1l = -6

Add 'l' to each side of the equation.
-15i + 3im + -1l + l = -6 + l

Combine like terms: -1l + l = 0
-15i + 3im + 0 = -6 + l
-15i + 3im = -6 + l

Reorder the terms:
6 + -15i + 3im + -1l = -6 + l + 6 + -1l

Reorder the terms:
6 + -15i + 3im + -1l = -6 + 6 + l + -1l

Combine like terms: -6 + 6 = 0
6 + -15i + 3im + -1l = 0 + l + -1l
6 + -15i + 3im + -1l = l + -1l

Combine like terms: l + -1l = 0
6 + -15i + 3im + -1l = 0

The solution to this equation could not be determined.