9+12i=3x+3yi

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Solution for 9+12i=3x+3yi equation: 


Simplifying
9 + 12i = 3x + 3yi

Reorder the terms:
9 + 12i = 3iy + 3x

Solving
9 + 12i = 3iy + 3x

Solving for variable 'i'.

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

Add '-3iy' to each side of the equation.
9 + 12i + -3iy = 3iy + -3iy + 3x

Combine like terms: 3iy + -3iy = 0
9 + 12i + -3iy = 0 + 3x
9 + 12i + -3iy = 3x

Add '-9' to each side of the equation.
9 + 12i + -9 + -3iy = -9 + 3x

Reorder the terms:
9 + -9 + 12i + -3iy = -9 + 3x

Combine like terms: 9 + -9 = 0
0 + 12i + -3iy = -9 + 3x
12i + -3iy = -9 + 3x

Reorder the terms:
9 + 12i + -3iy + -3x = -9 + 3x + 9 + -3x

Reorder the terms:
9 + 12i + -3iy + -3x = -9 + 9 + 3x + -3x

Combine like terms: -9 + 9 = 0
9 + 12i + -3iy + -3x = 0 + 3x + -3x
9 + 12i + -3iy + -3x = 3x + -3x

Combine like terms: 3x + -3x = 0
9 + 12i + -3iy + -3x = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(3 + 4i + -1iy + -1x) = 0

Ignore the factor 3.

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

Simplifying
3 + 4i + -1iy + -1x = 0

Solving
3 + 4i + -1iy + -1x = 0

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

Add '-3' to each side of the equation.
3 + 4i + -1iy + -3 + -1x = 0 + -3

Reorder the terms:
3 + -3 + 4i + -1iy + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 4i + -1iy + -1x = 0 + -3
4i + -1iy + -1x = 0 + -3

Combine like terms: 0 + -3 = -3
4i + -1iy + -1x = -3

Add 'x' to each side of the equation.
4i + -1iy + -1x + x = -3 + x

Combine like terms: -1x + x = 0
4i + -1iy + 0 = -3 + x
4i + -1iy = -3 + x

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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