z=(5-5i)(3+2i+z)

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Solution for z=(5-5i)(3+2i+z) equation: 


Simplifying
z = (5 + -5i)(3 + 2i + z)

Multiply (5 + -5i) * (3 + 2i + z)
z = (5(3 + 2i + z) + -5i * (3 + 2i + z))
z = ((3 * 5 + 2i * 5 + z * 5) + -5i * (3 + 2i + z))
z = ((15 + 10i + 5z) + -5i * (3 + 2i + z))
z = (15 + 10i + 5z + (3 * -5i + 2i * -5i + z * -5i))

Reorder the terms:
z = (15 + 10i + 5z + (-15i + -5iz + -10i2))
z = (15 + 10i + 5z + (-15i + -5iz + -10i2))

Reorder the terms:
z = (15 + 10i + -15i + -5iz + -10i2 + 5z)

Combine like terms: 10i + -15i = -5i
z = (15 + -5i + -5iz + -10i2 + 5z)

Solving
z = 15 + -5i + -5iz + -10i2 + 5z

Solving for variable 'z'.

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

Add '5iz' to each side of the equation.
5iz + z = 15 + -5i + -5iz + -10i2 + 5iz + 5z

Reorder the terms:
5iz + z = 15 + -5i + -5iz + 5iz + -10i2 + 5z

Combine like terms: -5iz + 5iz = 0
5iz + z = 15 + -5i + 0 + -10i2 + 5z
5iz + z = 15 + -5i + -10i2 + 5z

Add '-5z' to each side of the equation.
5iz + z + -5z = 15 + -5i + -10i2 + 5z + -5z

Combine like terms: z + -5z = -4z
5iz + -4z = 15 + -5i + -10i2 + 5z + -5z

Combine like terms: 5z + -5z = 0
5iz + -4z = 15 + -5i + -10i2 + 0
5iz + -4z = 15 + -5i + -10i2

Reorder the terms:
-15 + 5i + 5iz + 10i2 + -4z = 15 + -5i + -10i2 + -15 + 5i + 10i2

Reorder the terms:
-15 + 5i + 5iz + 10i2 + -4z = 15 + -15 + -5i + 5i + -10i2 + 10i2

Combine like terms: 15 + -15 = 0
-15 + 5i + 5iz + 10i2 + -4z = 0 + -5i + 5i + -10i2 + 10i2
-15 + 5i + 5iz + 10i2 + -4z = -5i + 5i + -10i2 + 10i2

Combine like terms: -5i + 5i = 0
-15 + 5i + 5iz + 10i2 + -4z = 0 + -10i2 + 10i2
-15 + 5i + 5iz + 10i2 + -4z = -10i2 + 10i2

Combine like terms: -10i2 + 10i2 = 0
-15 + 5i + 5iz + 10i2 + -4z = 0

The solution to this equation could not be determined.

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