(x+1)+3yi=5-9i

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Solution for (x+1)+3yi=5-9i equation:


Simplifying
(x + 1) + 3yi = 5 + -9i

Reorder the terms:
(1 + x) + 3yi = 5 + -9i

Remove parenthesis around (1 + x)
1 + x + 3yi = 5 + -9i

Reorder the terms:
1 + 3iy + x = 5 + -9i

Solving
1 + 3iy + x = 5 + -9i

Solving for variable 'i'.

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

Add '9i' to each side of the equation.
1 + 3iy + 9i + x = 5 + -9i + 9i

Reorder the terms:
1 + 9i + 3iy + x = 5 + -9i + 9i

Combine like terms: -9i + 9i = 0
1 + 9i + 3iy + x = 5 + 0
1 + 9i + 3iy + x = 5

Add '-1' to each side of the equation.
1 + 9i + 3iy + -1 + x = 5 + -1

Reorder the terms:
1 + -1 + 9i + 3iy + x = 5 + -1

Combine like terms: 1 + -1 = 0
0 + 9i + 3iy + x = 5 + -1
9i + 3iy + x = 5 + -1

Combine like terms: 5 + -1 = 4
9i + 3iy + x = 4

Add '-1x' to each side of the equation.
9i + 3iy + x + -1x = 4 + -1x

Combine like terms: x + -1x = 0
9i + 3iy + 0 = 4 + -1x
9i + 3iy = 4 + -1x

Reorder the terms:
-4 + 9i + 3iy + x = 4 + -1x + -4 + x

Reorder the terms:
-4 + 9i + 3iy + x = 4 + -4 + -1x + x

Combine like terms: 4 + -4 = 0
-4 + 9i + 3iy + x = 0 + -1x + x
-4 + 9i + 3iy + x = -1x + x

Combine like terms: -1x + x = 0
-4 + 9i + 3iy + x = 0

The solution to this equation could not be determined.

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