2+5ix-3yi=14i+3x+5y

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Solution for 2+5ix-3yi=14i+3x+5y equation:


Simplifying
2 + 5ix + -3yi = 14i + 3x + 5y

Solving
2 + 5ix + -3iy = 14i + 3x + 5y

Solving for variable 'i'.

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

Add '-14i' to each side of the equation.
2 + 5ix + -14i + -3iy = 14i + 3x + -14i + 5y

Reorder the terms:
2 + -14i + 5ix + -3iy = 14i + 3x + -14i + 5y

Reorder the terms:
2 + -14i + 5ix + -3iy = 14i + -14i + 3x + 5y

Combine like terms: 14i + -14i = 0
2 + -14i + 5ix + -3iy = 0 + 3x + 5y
2 + -14i + 5ix + -3iy = 3x + 5y

Add '-2' to each side of the equation.
2 + -14i + 5ix + -2 + -3iy = 3x + -2 + 5y

Reorder the terms:
2 + -2 + -14i + 5ix + -3iy = 3x + -2 + 5y

Combine like terms: 2 + -2 = 0
0 + -14i + 5ix + -3iy = 3x + -2 + 5y
-14i + 5ix + -3iy = 3x + -2 + 5y

Reorder the terms:
-14i + 5ix + -3iy = -2 + 3x + 5y

Reorder the terms:
2 + -14i + 5ix + -3iy + -3x + -5y = -2 + 3x + 5y + 2 + -3x + -5y

Reorder the terms:
2 + -14i + 5ix + -3iy + -3x + -5y = -2 + 2 + 3x + -3x + 5y + -5y

Combine like terms: -2 + 2 = 0
2 + -14i + 5ix + -3iy + -3x + -5y = 0 + 3x + -3x + 5y + -5y
2 + -14i + 5ix + -3iy + -3x + -5y = 3x + -3x + 5y + -5y

Combine like terms: 3x + -3x = 0
2 + -14i + 5ix + -3iy + -3x + -5y = 0 + 5y + -5y
2 + -14i + 5ix + -3iy + -3x + -5y = 5y + -5y

Combine like terms: 5y + -5y = 0
2 + -14i + 5ix + -3iy + -3x + -5y = 0

The solution to this equation could not be determined.

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