2x-24i=6+6yi

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Solution for 2x-24i=6+6yi equation:


Simplifying
2x + -24i = 6 + 6yi

Reorder the terms:
-24i + 2x = 6 + 6yi

Solving
-24i + 2x = 6 + 6iy

Solving for variable 'i'.

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

Add '-6iy' to each side of the equation.
-24i + -6iy + 2x = 6 + 6iy + -6iy

Combine like terms: 6iy + -6iy = 0
-24i + -6iy + 2x = 6 + 0
-24i + -6iy + 2x = 6

Add '-2x' to each side of the equation.
-24i + -6iy + 2x + -2x = 6 + -2x

Combine like terms: 2x + -2x = 0
-24i + -6iy + 0 = 6 + -2x
-24i + -6iy = 6 + -2x

Reorder the terms:
-6 + -24i + -6iy + 2x = 6 + -2x + -6 + 2x

Reorder the terms:
-6 + -24i + -6iy + 2x = 6 + -6 + -2x + 2x

Combine like terms: 6 + -6 = 0
-6 + -24i + -6iy + 2x = 0 + -2x + 2x
-6 + -24i + -6iy + 2x = -2x + 2x

Combine like terms: -2x + 2x = 0
-6 + -24i + -6iy + 2x = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-3 + -12i + -3iy + x) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-3 + -12i + -3iy + x)' equal to zero and attempt to solve: Simplifying -3 + -12i + -3iy + x = 0 Solving -3 + -12i + -3iy + x = 0 Move all terms containing i to the left, all other terms to the right. Add '3' to each side of the equation. -3 + -12i + -3iy + 3 + x = 0 + 3 Reorder the terms: -3 + 3 + -12i + -3iy + x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -12i + -3iy + x = 0 + 3 -12i + -3iy + x = 0 + 3 Combine like terms: 0 + 3 = 3 -12i + -3iy + x = 3 Add '-1x' to each side of the equation. -12i + -3iy + x + -1x = 3 + -1x Combine like terms: x + -1x = 0 -12i + -3iy + 0 = 3 + -1x -12i + -3iy = 3 + -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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