3x-5i=6-(10y)i

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Solution for 3x-5i=6-(10y)i equation:


Simplifying
3x + -5i = 6 + -1(10y) * i

Reorder the terms:
-5i + 3x = 6 + -1(10y) * i

Remove parenthesis around (10y)
-5i + 3x = 6 + -1 * 10y * i

Multiply -1 * 10
-5i + 3x = 6 + -10y * i

Multiply y * i
-5i + 3x = 6 + -10iy

Solving
-5i + 3x = 6 + -10iy

Solving for variable 'i'.

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

Add '10iy' to each side of the equation.
-5i + 10iy + 3x = 6 + -10iy + 10iy

Combine like terms: -10iy + 10iy = 0
-5i + 10iy + 3x = 6 + 0
-5i + 10iy + 3x = 6

Add '-3x' to each side of the equation.
-5i + 10iy + 3x + -3x = 6 + -3x

Combine like terms: 3x + -3x = 0
-5i + 10iy + 0 = 6 + -3x
-5i + 10iy = 6 + -3x

Reorder the terms:
-6 + -5i + 10iy + 3x = 6 + -3x + -6 + 3x

Reorder the terms:
-6 + -5i + 10iy + 3x = 6 + -6 + -3x + 3x

Combine like terms: 6 + -6 = 0
-6 + -5i + 10iy + 3x = 0 + -3x + 3x
-6 + -5i + 10iy + 3x = -3x + 3x

Combine like terms: -3x + 3x = 0
-6 + -5i + 10iy + 3x = 0

The solution to this equation could not be determined.

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