iz+4=z(2-5i)

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


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

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

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

Solving
4 + iz = -5iz + 2z

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.
4 + iz + 5iz = -5iz + 5iz + 2z

Combine like terms: iz + 5iz = 6iz
4 + 6iz = -5iz + 5iz + 2z

Combine like terms: -5iz + 5iz = 0
4 + 6iz = 0 + 2z
4 + 6iz = 2z

Add '-4' to each side of the equation.
4 + -4 + 6iz = -4 + 2z

Combine like terms: 4 + -4 = 0
0 + 6iz = -4 + 2z
6iz = -4 + 2z

Divide each side by '6z'.
i = -0.6666666667z-1 + 0.3333333333

Simplifying
i = -0.6666666667z-1 + 0.3333333333

Reorder the terms:
i = 0.3333333333 + -0.6666666667z-1

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