(3+2i)z-3+6i=8-4i

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Solution for (3+2i)z-3+6i=8-4i equation:


Simplifying
(3 + 2i) * z + -3 + 6i = 8 + -4i

Reorder the terms for easier multiplication:
z(3 + 2i) + -3 + 6i = 8 + -4i
(3 * z + 2i * z) + -3 + 6i = 8 + -4i

Reorder the terms:
(2iz + 3z) + -3 + 6i = 8 + -4i
(2iz + 3z) + -3 + 6i = 8 + -4i

Reorder the terms:
-3 + 6i + 2iz + 3z = 8 + -4i

Solving
-3 + 6i + 2iz + 3z = 8 + -4i

Solving for variable 'i'.

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

Add '4i' to each side of the equation.
-3 + 6i + 2iz + 4i + 3z = 8 + -4i + 4i

Reorder the terms:
-3 + 6i + 4i + 2iz + 3z = 8 + -4i + 4i

Combine like terms: 6i + 4i = 10i
-3 + 10i + 2iz + 3z = 8 + -4i + 4i

Combine like terms: -4i + 4i = 0
-3 + 10i + 2iz + 3z = 8 + 0
-3 + 10i + 2iz + 3z = 8

Add '3' to each side of the equation.
-3 + 10i + 2iz + 3 + 3z = 8 + 3

Reorder the terms:
-3 + 3 + 10i + 2iz + 3z = 8 + 3

Combine like terms: -3 + 3 = 0
0 + 10i + 2iz + 3z = 8 + 3
10i + 2iz + 3z = 8 + 3

Combine like terms: 8 + 3 = 11
10i + 2iz + 3z = 11

Add '-3z' to each side of the equation.
10i + 2iz + 3z + -3z = 11 + -3z

Combine like terms: 3z + -3z = 0
10i + 2iz + 0 = 11 + -3z
10i + 2iz = 11 + -3z

Reorder the terms:
-11 + 10i + 2iz + 3z = 11 + -3z + -11 + 3z

Reorder the terms:
-11 + 10i + 2iz + 3z = 11 + -11 + -3z + 3z

Combine like terms: 11 + -11 = 0
-11 + 10i + 2iz + 3z = 0 + -3z + 3z
-11 + 10i + 2iz + 3z = -3z + 3z

Combine like terms: -3z + 3z = 0
-11 + 10i + 2iz + 3z = 0

The solution to this equation could not be determined.

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