(-1+4i)(y+i)=x+3yi

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Solution for (-1+4i)(y+i)=x+3yi equation: 


Simplifying
(-1 + 4i)(y + i) = x + 3yi

Reorder the terms:
(-1 + 4i)(i + y) = x + 3yi

Multiply (-1 + 4i) * (i + y)
(-1(i + y) + 4i * (i + y)) = x + 3yi
((i * -1 + y * -1) + 4i * (i + y)) = x + 3yi
((-1i + -1y) + 4i * (i + y)) = x + 3yi
(-1i + -1y + (i * 4i + y * 4i)) = x + 3yi

Reorder the terms:
(-1i + -1y + (4iy + 4i2)) = x + 3yi
(-1i + -1y + (4iy + 4i2)) = x + 3yi

Reorder the terms:
(-1i + 4iy + 4i2 + -1y) = x + 3yi
(-1i + 4iy + 4i2 + -1y) = x + 3yi

Reorder the terms:
-1i + 4iy + 4i2 + -1y = 3iy + x

Solving
-1i + 4iy + 4i2 + -1y = 3iy + x

Solving for variable 'i'.

Reorder the terms:
-1i + 4iy + -3iy + 4i2 + -1x + -1y = 3iy + x + -3iy + -1x

Combine like terms: 4iy + -3iy = 1iy
-1i + 1iy + 4i2 + -1x + -1y = 3iy + x + -3iy + -1x

Reorder the terms:
-1i + 1iy + 4i2 + -1x + -1y = 3iy + -3iy + x + -1x

Combine like terms: 3iy + -3iy = 0
-1i + 1iy + 4i2 + -1x + -1y = 0 + x + -1x
-1i + 1iy + 4i2 + -1x + -1y = x + -1x

Combine like terms: x + -1x = 0
-1i + 1iy + 4i2 + -1x + -1y = 0

The solution to this equation could not be determined.

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