3x+3yi-(5x+2i)=x-12i+x-4i

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Solution for 3x+3yi-(5x+2i)=x-12i+x-4i equation:


Simplifying
3x + 3yi + -1(5x + 2i) = x + -12i + x + -4i

Reorder the terms:
3x + 3iy + -1(2i + 5x) = x + -12i + x + -4i
3x + 3iy + (2i * -1 + 5x * -1) = x + -12i + x + -4i
3x + 3iy + (-2i + -5x) = x + -12i + x + -4i

Reorder the terms:
-2i + 3iy + 3x + -5x = x + -12i + x + -4i

Combine like terms: 3x + -5x = -2x
-2i + 3iy + -2x = x + -12i + x + -4i

Reorder the terms:
-2i + 3iy + -2x = -12i + -4i + x + x

Combine like terms: -12i + -4i = -16i
-2i + 3iy + -2x = -16i + x + x

Combine like terms: x + x = 2x
-2i + 3iy + -2x = -16i + 2x

Solving
-2i + 3iy + -2x = -16i + 2x

Solving for variable 'i'.

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

Add '16i' to each side of the equation.
-2i + 3iy + 16i + -2x = -16i + 16i + 2x

Reorder the terms:
-2i + 16i + 3iy + -2x = -16i + 16i + 2x

Combine like terms: -2i + 16i = 14i
14i + 3iy + -2x = -16i + 16i + 2x

Combine like terms: -16i + 16i = 0
14i + 3iy + -2x = 0 + 2x
14i + 3iy + -2x = 2x

Add '2x' to each side of the equation.
14i + 3iy + -2x + 2x = 2x + 2x

Combine like terms: -2x + 2x = 0
14i + 3iy + 0 = 2x + 2x
14i + 3iy = 2x + 2x

Combine like terms: 2x + 2x = 4x
14i + 3iy = 4x

Combine like terms: 4x + -4x = 0
14i + 3iy + -4x = 0

The solution to this equation could not be determined.

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