9+(x+4y)i=x+i

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Solution for 9+(x+4y)i=x+i equation: 


Simplifying
9 + (x + 4y) * i = x + i

Reorder the terms for easier multiplication:
9 + i(x + 4y) = x + i
9 + (x * i + 4y * i) = x + i
9 + (ix + 4iy) = x + i

Reorder the terms:
9 + ix + 4iy = i + x

Solving
9 + ix + 4iy = i + x

Solving for variable 'i'.

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

Add '-1i' to each side of the equation.
9 + ix + -1i + 4iy = i + -1i + x

Reorder the terms:
9 + -1i + ix + 4iy = i + -1i + x

Combine like terms: i + -1i = 0
9 + -1i + ix + 4iy = 0 + x
9 + -1i + ix + 4iy = x

Add '-9' to each side of the equation.
9 + -1i + ix + -9 + 4iy = -9 + x

Reorder the terms:
9 + -9 + -1i + ix + 4iy = -9 + x

Combine like terms: 9 + -9 = 0
0 + -1i + ix + 4iy = -9 + x
-1i + ix + 4iy = -9 + x

Reorder the terms:
9 + -1i + ix + 4iy + -1x = -9 + x + 9 + -1x

Reorder the terms:
9 + -1i + ix + 4iy + -1x = -9 + 9 + x + -1x

Combine like terms: -9 + 9 = 0
9 + -1i + ix + 4iy + -1x = 0 + x + -1x
9 + -1i + ix + 4iy + -1x = x + -1x

Combine like terms: x + -1x = 0
9 + -1i + ix + 4iy + -1x = 0

The solution to this equation could not be determined.

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