x+(2y)i=3+5i

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Solution for x+(2y)i=3+5i equation:


Simplifying
x + (2y) * i = 3 + 5i

Remove parenthesis around (2y)
x + 2y * i = 3 + 5i

Multiply y * i
x + 2iy = 3 + 5i

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

Solving
2iy + x = 3 + 5i

Solving for variable 'i'.

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

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

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

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

Add '-1x' to each side of the equation.
-5i + 2iy + x + -1x = 3 + -1x

Combine like terms: x + -1x = 0
-5i + 2iy + 0 = 3 + -1x
-5i + 2iy = 3 + -1x

Reorder the terms:
-3 + -5i + 2iy + x = 3 + -1x + -3 + x

Reorder the terms:
-3 + -5i + 2iy + x = 3 + -3 + -1x + x

Combine like terms: 3 + -3 = 0
-3 + -5i + 2iy + x = 0 + -1x + x
-3 + -5i + 2iy + x = -1x + x

Combine like terms: -1x + x = 0
-3 + -5i + 2iy + x = 0

The solution to this equation could not be determined.

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