z^2+(4-12i)*z-4-12i=0

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Solution for z^2+(4-12i)*z-4-12i=0 equation: 


Simplifying
z2 + (4 + -12i) * z + -4 + -12i = 0

Reorder the terms for easier multiplication:
z2 + z(4 + -12i) + -4 + -12i = 0
z2 + (4 * z + -12i * z) + -4 + -12i = 0

Reorder the terms:
z2 + (-12iz + 4z) + -4 + -12i = 0
z2 + (-12iz + 4z) + -4 + -12i = 0

Reorder the terms:
-4 + -12i + -12iz + 4z + z2 = 0

Solving
-4 + -12i + -12iz + 4z + z2 = 0

Solving for variable 'i'.

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

Add '4' to each side of the equation.
-4 + -12i + -12iz + 4z + 4 + z2 = 0 + 4

Reorder the terms:
-4 + 4 + -12i + -12iz + 4z + z2 = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -12i + -12iz + 4z + z2 = 0 + 4
-12i + -12iz + 4z + z2 = 0 + 4

Combine like terms: 0 + 4 = 4
-12i + -12iz + 4z + z2 = 4

Add '-4z' to each side of the equation.
-12i + -12iz + 4z + -4z + z2 = 4 + -4z

Combine like terms: 4z + -4z = 0
-12i + -12iz + 0 + z2 = 4 + -4z
-12i + -12iz + z2 = 4 + -4z

Add '-1z2' to each side of the equation.
-12i + -12iz + z2 + -1z2 = 4 + -4z + -1z2

Combine like terms: z2 + -1z2 = 0
-12i + -12iz + 0 = 4 + -4z + -1z2
-12i + -12iz = 4 + -4z + -1z2

Reorder the terms:
-4 + -12i + -12iz + 4z + z2 = 4 + -4z + -1z2 + -4 + 4z + z2

Reorder the terms:
-4 + -12i + -12iz + 4z + z2 = 4 + -4 + -4z + 4z + -1z2 + z2

Combine like terms: 4 + -4 = 0
-4 + -12i + -12iz + 4z + z2 = 0 + -4z + 4z + -1z2 + z2
-4 + -12i + -12iz + 4z + z2 = -4z + 4z + -1z2 + z2

Combine like terms: -4z + 4z = 0
-4 + -12i + -12iz + 4z + z2 = 0 + -1z2 + z2
-4 + -12i + -12iz + 4z + z2 = -1z2 + z2

Combine like terms: -1z2 + z2 = 0
-4 + -12i + -12iz + 4z + z2 = 0

The solution to this equation could not be determined.

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