z+(3-5i)=z(5-5i)

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Solution for z+(3-5i)=z(5-5i) equation:


Simplifying
z + (3 + -5i) = z(5 + -5i)

Remove parenthesis around (3 + -5i)
z + 3 + -5i = z(5 + -5i)

Reorder the terms:
3 + -5i + z = z(5 + -5i)
3 + -5i + z = (5 * z + -5i * z)

Reorder the terms:
3 + -5i + z = (-5iz + 5z)
3 + -5i + z = (-5iz + 5z)

Solving
3 + -5i + z = -5iz + 5z

Solving for variable 'i'.

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

Add '5iz' to each side of the equation.
3 + -5i + 5iz + z = -5iz + 5iz + 5z

Combine like terms: -5iz + 5iz = 0
3 + -5i + 5iz + z = 0 + 5z
3 + -5i + 5iz + z = 5z

Add '-3' to each side of the equation.
3 + -5i + 5iz + -3 + z = -3 + 5z

Reorder the terms:
3 + -3 + -5i + 5iz + z = -3 + 5z

Combine like terms: 3 + -3 = 0
0 + -5i + 5iz + z = -3 + 5z
-5i + 5iz + z = -3 + 5z

Add '-1z' to each side of the equation.
-5i + 5iz + z + -1z = -3 + 5z + -1z

Combine like terms: z + -1z = 0
-5i + 5iz + 0 = -3 + 5z + -1z
-5i + 5iz = -3 + 5z + -1z

Combine like terms: 5z + -1z = 4z
-5i + 5iz = -3 + 4z

Reorder the terms:
3 + -5i + 5iz + -4z = -3 + 4z + 3 + -4z

Reorder the terms:
3 + -5i + 5iz + -4z = -3 + 3 + 4z + -4z

Combine like terms: -3 + 3 = 0
3 + -5i + 5iz + -4z = 0 + 4z + -4z
3 + -5i + 5iz + -4z = 4z + -4z

Combine like terms: 4z + -4z = 0
3 + -5i + 5iz + -4z = 0

The solution to this equation could not be determined.

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