(1+i)z+1-3i=2iz-3

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Solution for (1+i)z+1-3i=2iz-3 equation: 


Simplifying
(1 + i) * z + 1 + -3i = 2iz + -3

Reorder the terms for easier multiplication:
z(1 + i) + 1 + -3i = 2iz + -3
(1 * z + i * z) + 1 + -3i = 2iz + -3

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

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

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

Solving
1 + -3i + iz + 1z = -3 + 2iz

Solving for variable 'i'.

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

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

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

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

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

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

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

Combine like terms: -3 + -1 = -4
-3i + -1iz + 1z = -4

Add '-1z' to each side of the equation.
-3i + -1iz + 1z + -1z = -4 + -1z

Combine like terms: 1z + -1z = 0
-3i + -1iz + 0 = -4 + -1z
-3i + -1iz = -4 + -1z

Reorder the terms:
4 + -3i + -1iz + z = -4 + -1z + 4 + z

Reorder the terms:
4 + -3i + -1iz + z = -4 + 4 + -1z + z

Combine like terms: -4 + 4 = 0
4 + -3i + -1iz + z = 0 + -1z + z
4 + -3i + -1iz + z = -1z + z

Combine like terms: -1z + z = 0
4 + -3i + -1iz + z = 0

The solution to this equation could not be determined.

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