z=(2+5i)(-4+2+z)

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Solution for z=(2+5i)(-4+2+z) equation:


Simplifying
z = (2 + 5i)(-4 + 2 + z)

Combine like terms: -4 + 2 = -2
z = (2 + 5i)(-2 + z)

Multiply (2 + 5i) * (-2 + z)
z = (2(-2 + z) + 5i * (-2 + z))
z = ((-2 * 2 + z * 2) + 5i * (-2 + z))
z = ((-4 + 2z) + 5i * (-2 + z))
z = (-4 + 2z + (-2 * 5i + z * 5i))
z = (-4 + 2z + (-10i + 5iz))

Reorder the terms:
z = (-4 + -10i + 5iz + 2z)
z = (-4 + -10i + 5iz + 2z)

Solving
z = -4 + -10i + 5iz + 2z

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 = -4 + -10i + 5iz + -5iz + 2z

Combine like terms: 5iz + -5iz = 0
-5iz + z = -4 + -10i + 0 + 2z
-5iz + z = -4 + -10i + 2z

Add '-2z' to each side of the equation.
-5iz + z + -2z = -4 + -10i + 2z + -2z

Combine like terms: z + -2z = -1z
-5iz + -1z = -4 + -10i + 2z + -2z

Combine like terms: 2z + -2z = 0
-5iz + -1z = -4 + -10i + 0
-5iz + -1z = -4 + -10i

Reorder the terms:
4 + 10i + -5iz + -1z = -4 + -10i + 4 + 10i

Reorder the terms:
4 + 10i + -5iz + -1z = -4 + 4 + -10i + 10i

Combine like terms: -4 + 4 = 0
4 + 10i + -5iz + -1z = 0 + -10i + 10i
4 + 10i + -5iz + -1z = -10i + 10i

Combine like terms: -10i + 10i = 0
4 + 10i + -5iz + -1z = 0

The solution to this equation could not be determined.

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