2x-6iy=8-12i

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Solution for 2x-6iy=8-12i equation:


Simplifying
2x + -6iy = 8 + -12i

Reorder the terms:
-6iy + 2x = 8 + -12i

Solving
-6iy + 2x = 8 + -12i

Solving for variable 'i'.

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

Add '12i' to each side of the equation.
-6iy + 12i + 2x = 8 + -12i + 12i

Reorder the terms:
12i + -6iy + 2x = 8 + -12i + 12i

Combine like terms: -12i + 12i = 0
12i + -6iy + 2x = 8 + 0
12i + -6iy + 2x = 8

Add '-2x' to each side of the equation.
12i + -6iy + 2x + -2x = 8 + -2x

Combine like terms: 2x + -2x = 0
12i + -6iy + 0 = 8 + -2x
12i + -6iy = 8 + -2x

Reorder the terms:
-8 + 12i + -6iy + 2x = 8 + -2x + -8 + 2x

Reorder the terms:
-8 + 12i + -6iy + 2x = 8 + -8 + -2x + 2x

Combine like terms: 8 + -8 = 0
-8 + 12i + -6iy + 2x = 0 + -2x + 2x
-8 + 12i + -6iy + 2x = -2x + 2x

Combine like terms: -2x + 2x = 0
-8 + 12i + -6iy + 2x = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-4 + 6i + -3iy + x) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-4 + 6i + -3iy + x)' equal to zero and attempt to solve: Simplifying -4 + 6i + -3iy + x = 0 Solving -4 + 6i + -3iy + x = 0 Move all terms containing i to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 6i + -3iy + 4 + x = 0 + 4 Reorder the terms: -4 + 4 + 6i + -3iy + x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 6i + -3iy + x = 0 + 4 6i + -3iy + x = 0 + 4 Combine like terms: 0 + 4 = 4 6i + -3iy + x = 4 Add '-1x' to each side of the equation. 6i + -3iy + x + -1x = 4 + -1x Combine like terms: x + -1x = 0 6i + -3iy + 0 = 4 + -1x 6i + -3iy = 4 + -1x 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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