3+5yi=x-10i

Solution for 3+5yi=x-10i equation:

Simplifying
3 + 5yi = x + -10i

Reorder the terms:
3 + 5iy = -10i + x

Solving
3 + 5iy = -10i + x

Solving for variable 'i'.

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

Add '10i' to each side of the equation.
3 + 10i + 5iy = -10i + 10i + x

Combine like terms: -10i + 10i = 0
3 + 10i + 5iy = 0 + x
3 + 10i + 5iy = x

Add '-3' to each side of the equation.
3 + 10i + -3 + 5iy = -3 + x

Reorder the terms:
3 + -3 + 10i + 5iy = -3 + x

Combine like terms: 3 + -3 = 0
0 + 10i + 5iy = -3 + x
10i + 5iy = -3 + x

Reorder the terms:
3 + 10i + 5iy + -1x = -3 + x + 3 + -1x

Reorder the terms:
3 + 10i + 5iy + -1x = -3 + 3 + x + -1x

Combine like terms: -3 + 3 = 0
3 + 10i + 5iy + -1x = 0 + x + -1x
3 + 10i + 5iy + -1x = x + -1x

Combine like terms: x + -1x = 0
3 + 10i + 5iy + -1x = 0

The solution to this equation could not be determined.