3(2x+4yi)=18-24i

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Solution for 3(2x+4yi)=18-24i equation:


Simplifying
3(2x + 4yi) = 18 + -24i

Reorder the terms:
3(4iy + 2x) = 18 + -24i
(4iy * 3 + 2x * 3) = 18 + -24i
(12iy + 6x) = 18 + -24i

Solving
12iy + 6x = 18 + -24i

Solving for variable 'i'.

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

Add '24i' to each side of the equation.
12iy + 24i + 6x = 18 + -24i + 24i

Reorder the terms:
24i + 12iy + 6x = 18 + -24i + 24i

Combine like terms: -24i + 24i = 0
24i + 12iy + 6x = 18 + 0
24i + 12iy + 6x = 18

Add '-6x' to each side of the equation.
24i + 12iy + 6x + -6x = 18 + -6x

Combine like terms: 6x + -6x = 0
24i + 12iy + 0 = 18 + -6x
24i + 12iy = 18 + -6x

Reorder the terms:
-18 + 24i + 12iy + 6x = 18 + -6x + -18 + 6x

Reorder the terms:
-18 + 24i + 12iy + 6x = 18 + -18 + -6x + 6x

Combine like terms: 18 + -18 = 0
-18 + 24i + 12iy + 6x = 0 + -6x + 6x
-18 + 24i + 12iy + 6x = -6x + 6x

Combine like terms: -6x + 6x = 0
-18 + 24i + 12iy + 6x = 0

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

Ignore the factor 6.

Subproblem 1

Set the factor '(-3 + 4i + 2iy + x)' equal to zero and attempt to solve: Simplifying -3 + 4i + 2iy + x = 0 Solving -3 + 4i + 2iy + 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 + 4i + 2iy + 3 + x = 0 + 3 Reorder the terms: -3 + 3 + 4i + 2iy + x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 4i + 2iy + x = 0 + 3 4i + 2iy + x = 0 + 3 Combine like terms: 0 + 3 = 3 4i + 2iy + x = 3 Add '-1x' to each side of the equation. 4i + 2iy + x + -1x = 3 + -1x Combine like terms: x + -1x = 0 4i + 2iy + 0 = 3 + -1x 4i + 2iy = 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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