z^2-(1-9i)z-16+3i=0

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Solution for z^2-(1-9i)z-16+3i=0 equation: 


Simplifying
z2 + -1(1 + -9i) * z + -16 + 3i = 0

Reorder the terms for easier multiplication:
z2 + -1z(1 + -9i) + -16 + 3i = 0
z2 + (1 * -1z + -9i * -1z) + -16 + 3i = 0

Reorder the terms:
z2 + (9iz + -1z) + -16 + 3i = 0
z2 + (9iz + -1z) + -16 + 3i = 0

Reorder the terms:
-16 + 3i + 9iz + -1z + z2 = 0

Solving
-16 + 3i + 9iz + -1z + z2 = 0

Solving for variable 'i'.

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

Add '16' to each side of the equation.
-16 + 3i + 9iz + -1z + 16 + z2 = 0 + 16

Reorder the terms:
-16 + 16 + 3i + 9iz + -1z + z2 = 0 + 16

Combine like terms: -16 + 16 = 0
0 + 3i + 9iz + -1z + z2 = 0 + 16
3i + 9iz + -1z + z2 = 0 + 16

Combine like terms: 0 + 16 = 16
3i + 9iz + -1z + z2 = 16

Add 'z' to each side of the equation.
3i + 9iz + -1z + z + z2 = 16 + z

Combine like terms: -1z + z = 0
3i + 9iz + 0 + z2 = 16 + z
3i + 9iz + z2 = 16 + z

Add '-1z2' to each side of the equation.
3i + 9iz + z2 + -1z2 = 16 + z + -1z2

Combine like terms: z2 + -1z2 = 0
3i + 9iz + 0 = 16 + z + -1z2
3i + 9iz = 16 + z + -1z2

Reorder the terms:
-16 + 3i + 9iz + -1z + z2 = 16 + z + -1z2 + -16 + -1z + z2

Reorder the terms:
-16 + 3i + 9iz + -1z + z2 = 16 + -16 + z + -1z + -1z2 + z2

Combine like terms: 16 + -16 = 0
-16 + 3i + 9iz + -1z + z2 = 0 + z + -1z + -1z2 + z2
-16 + 3i + 9iz + -1z + z2 = z + -1z + -1z2 + z2

Combine like terms: z + -1z = 0
-16 + 3i + 9iz + -1z + z2 = 0 + -1z2 + z2
-16 + 3i + 9iz + -1z + z2 = -1z2 + z2

Combine like terms: -1z2 + z2 = 0
-16 + 3i + 9iz + -1z + z2 = 0

The solution to this equation could not be determined.

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