z^2-(1-3i)z-(2+3i)=0

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Solution for z^2-(1-3i)z-(2+3i)=0 equation: 


Simplifying
z2 + -1(1 + -3i) * z + -1(2 + 3i) = 0

Reorder the terms for easier multiplication:
z2 + -1z(1 + -3i) + -1(2 + 3i) = 0
z2 + (1 * -1z + -3i * -1z) + -1(2 + 3i) = 0

Reorder the terms:
z2 + (3iz + -1z) + -1(2 + 3i) = 0
z2 + (3iz + -1z) + -1(2 + 3i) = 0
z2 + 3iz + -1z + (2 * -1 + 3i * -1) = 0
z2 + 3iz + -1z + (-2 + -3i) = 0

Reorder the terms:
-2 + -3i + 3iz + -1z + z2 = 0

Solving
-2 + -3i + 3iz + -1z + z2 = 0

Solving for variable 'i'.

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

Add '2' to each side of the equation.
-2 + -3i + 3iz + -1z + 2 + z2 = 0 + 2

Reorder the terms:
-2 + 2 + -3i + 3iz + -1z + z2 = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -3i + 3iz + -1z + z2 = 0 + 2
-3i + 3iz + -1z + z2 = 0 + 2

Combine like terms: 0 + 2 = 2
-3i + 3iz + -1z + z2 = 2

Add 'z' to each side of the equation.
-3i + 3iz + -1z + z + z2 = 2 + z

Combine like terms: -1z + z = 0
-3i + 3iz + 0 + z2 = 2 + z
-3i + 3iz + z2 = 2 + z

Add '-1z2' to each side of the equation.
-3i + 3iz + z2 + -1z2 = 2 + z + -1z2

Combine like terms: z2 + -1z2 = 0
-3i + 3iz + 0 = 2 + z + -1z2
-3i + 3iz = 2 + z + -1z2

Reorder the terms:
-2 + -3i + 3iz + -1z + z2 = 2 + z + -1z2 + -2 + -1z + z2

Reorder the terms:
-2 + -3i + 3iz + -1z + z2 = 2 + -2 + z + -1z + -1z2 + z2

Combine like terms: 2 + -2 = 0
-2 + -3i + 3iz + -1z + z2 = 0 + z + -1z + -1z2 + z2
-2 + -3i + 3iz + -1z + z2 = z + -1z + -1z2 + z2

Combine like terms: z + -1z = 0
-2 + -3i + 3iz + -1z + z2 = 0 + -1z2 + z2
-2 + -3i + 3iz + -1z + z2 = -1z2 + z2

Combine like terms: -1z2 + z2 = 0
-2 + -3i + 3iz + -1z + z2 = 0

The solution to this equation could not be determined.

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