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

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


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

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

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

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

Solving
3im + (6l) = -12 + 27i

Solving for variable 'i'.

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

Add '-27i' to each side of the equation.
3im + -27i + (6l) = -12 + 27i + -27i

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

Combine like terms: 27i + -27i = 0
-27i + 3im + (6l) = -12 + 0
-27i + 3im + (6l) = -12

Add '(-6l)' to each side of the equation.
-27i + 3im + (6l) + (-6l) = -12 + (-6l)

Combine like terms: (6l) + (-6l) = 0
-27i + 3im + 0 = -12 + (-6l)
-27i + 3im = -12 + (-6l)

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

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

Combine like terms: -12 + 12 = 0
12 + -27i + 3im + (6l) = 0 + (-6l) + (6l)
12 + -27i + 3im + (6l) = (-6l) + (6l)

Combine like terms: (-6l) + (6l) = 0
12 + -27i + 3im + (6l) = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(4 + -9i + im + (2l)) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(4 + -9i + im + (2l))' equal to zero and attempt to solve: Simplifying 4 + -9i + im + (2l) = 0 Solving 4 + -9i + im + (2l) = 0 Move all terms containing i to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -9i + im + -4 + (2l) = 0 + -4 Reorder the terms: 4 + -4 + -9i + im + (2l) = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -9i + im + (2l) = 0 + -4 -9i + im + (2l) = 0 + -4 Combine like terms: 0 + -4 = -4 -9i + im + (2l) = -4 Add '(-2l)' to each side of the equation. -9i + im + (2l) + (-2l) = -4 + (-2l) Combine like terms: (2l) + (-2l) = 0 -9i + im + 0 = -4 + (-2l) -9i + im = -4 + (-2l) The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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