6+6i=9x-12yi

Solution for 6+6i=9x-12yi equation:

Simplifying
6 + 6i = 9x + -12yi

Reorder the terms:
6 + 6i = -12iy + 9x

Solving
6 + 6i = -12iy + 9x

Solving for variable 'i'.

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

Add '12iy' to each side of the equation.
6 + 6i + 12iy = -12iy + 12iy + 9x

Combine like terms: -12iy + 12iy = 0
6 + 6i + 12iy = 0 + 9x
6 + 6i + 12iy = 9x

Add '-6' to each side of the equation.
6 + 6i + -6 + 12iy = -6 + 9x

Reorder the terms:
6 + -6 + 6i + 12iy = -6 + 9x

Combine like terms: 6 + -6 = 0
0 + 6i + 12iy = -6 + 9x
6i + 12iy = -6 + 9x

Reorder the terms:
6 + 6i + 12iy + -9x = -6 + 9x + 6 + -9x

Reorder the terms:
6 + 6i + 12iy + -9x = -6 + 6 + 9x + -9x

Combine like terms: -6 + 6 = 0
6 + 6i + 12iy + -9x = 0 + 9x + -9x
6 + 6i + 12iy + -9x = 9x + -9x

Combine like terms: 9x + -9x = 0
6 + 6i + 12iy + -9x = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(2 + 2i + 4iy + -3x) = 0

Ignore the factor 3.
Subproblem 1
Set the factor '(2 + 2i + 4iy + -3x)' equal to zero and attempt to solve:

Simplifying
2 + 2i + 4iy + -3x = 0

Solving
2 + 2i + 4iy + -3x = 0

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

Add '-2' to each side of the equation.
2 + 2i + 4iy + -2 + -3x = 0 + -2

Reorder the terms:
2 + -2 + 2i + 4iy + -3x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 2i + 4iy + -3x = 0 + -2
2i + 4iy + -3x = 0 + -2

Combine like terms: 0 + -2 = -2
2i + 4iy + -3x = -2

Add '3x' to each side of the equation.
2i + 4iy + -3x + 3x = -2 + 3x

Combine like terms: -3x + 3x = 0
2i + 4iy + 0 = -2 + 3x
2i + 4iy = -2 + 3x

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.