3z+5i-2=iz-2i

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


Simplifying
3z + 5i + -2 = iz + -2i

Reorder the terms:
-2 + 5i + 3z = iz + -2i

Reorder the terms:
-2 + 5i + 3z = -2i + iz

Solving
-2 + 5i + 3z = -2i + iz

Solving for variable 'i'.

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

Add '2i' to each side of the equation.
-2 + 5i + 2i + 3z = -2i + 2i + iz

Combine like terms: 5i + 2i = 7i
-2 + 7i + 3z = -2i + 2i + iz

Combine like terms: -2i + 2i = 0
-2 + 7i + 3z = 0 + iz
-2 + 7i + 3z = iz

Add '-1iz' to each side of the equation.
-2 + 7i + -1iz + 3z = iz + -1iz

Combine like terms: iz + -1iz = 0
-2 + 7i + -1iz + 3z = 0

Add '2' to each side of the equation.
-2 + 7i + -1iz + 2 + 3z = 0 + 2

Reorder the terms:
-2 + 2 + 7i + -1iz + 3z = 0 + 2

Combine like terms: -2 + 2 = 0
0 + 7i + -1iz + 3z = 0 + 2
7i + -1iz + 3z = 0 + 2

Combine like terms: 0 + 2 = 2
7i + -1iz + 3z = 2

Add '-3z' to each side of the equation.
7i + -1iz + 3z + -3z = 2 + -3z

Combine like terms: 3z + -3z = 0
7i + -1iz + 0 = 2 + -3z
7i + -1iz = 2 + -3z

Reorder the terms:
-2 + 7i + -1iz + 3z = 2 + -3z + -2 + 3z

Reorder the terms:
-2 + 7i + -1iz + 3z = 2 + -2 + -3z + 3z

Combine like terms: 2 + -2 = 0
-2 + 7i + -1iz + 3z = 0 + -3z + 3z
-2 + 7i + -1iz + 3z = -3z + 3z

Combine like terms: -3z + 3z = 0
-2 + 7i + -1iz + 3z = 0

The solution to this equation could not be determined.

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