Z^2-(8-10i)z-12-44i=0

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Solution for Z^2-(8-10i)z-12-44i=0 equation: 


Simplifying
Z2 + -1(8 + -10i) * z + -12 + -44i = 0

Reorder the terms for easier multiplication:
Z2 + -1z(8 + -10i) + -12 + -44i = 0
Z2 + (8 * -1z + -10i * -1z) + -12 + -44i = 0

Reorder the terms:
Z2 + (10iz + -8z) + -12 + -44i = 0
Z2 + (10iz + -8z) + -12 + -44i = 0

Reorder the terms:
-12 + Z2 + -44i + 10iz + -8z = 0

Solving
-12 + Z2 + -44i + 10iz + -8z = 0

Solving for variable 'Z'.

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

Add '12' to each side of the equation.
-12 + Z2 + -44i + 10iz + 12 + -8z = 0 + 12

Reorder the terms:
-12 + 12 + Z2 + -44i + 10iz + -8z = 0 + 12

Combine like terms: -12 + 12 = 0
0 + Z2 + -44i + 10iz + -8z = 0 + 12
Z2 + -44i + 10iz + -8z = 0 + 12

Combine like terms: 0 + 12 = 12
Z2 + -44i + 10iz + -8z = 12

Add '44i' to each side of the equation.
Z2 + -44i + 10iz + 44i + -8z = 12 + 44i

Reorder the terms:
Z2 + -44i + 44i + 10iz + -8z = 12 + 44i

Combine like terms: -44i + 44i = 0
Z2 + 0 + 10iz + -8z = 12 + 44i
Z2 + 10iz + -8z = 12 + 44i

Add '-10iz' to each side of the equation.
Z2 + 10iz + -10iz + -8z = 12 + 44i + -10iz

Combine like terms: 10iz + -10iz = 0
Z2 + 0 + -8z = 12 + 44i + -10iz
Z2 + -8z = 12 + 44i + -10iz

Add '8z' to each side of the equation.
Z2 + -8z + 8z = 12 + 44i + -10iz + 8z

Combine like terms: -8z + 8z = 0
Z2 + 0 = 12 + 44i + -10iz + 8z
Z2 = 12 + 44i + -10iz + 8z

Simplifying
Z2 = 12 + 44i + -10iz + 8z

Reorder the terms:
-12 + Z2 + -44i + 10iz + -8z = 12 + 44i + -10iz + 8z + -12 + -44i + 10iz + -8z

Reorder the terms:
-12 + Z2 + -44i + 10iz + -8z = 12 + -12 + 44i + -44i + -10iz + 10iz + 8z + -8z

Combine like terms: 12 + -12 = 0
-12 + Z2 + -44i + 10iz + -8z = 0 + 44i + -44i + -10iz + 10iz + 8z + -8z
-12 + Z2 + -44i + 10iz + -8z = 44i + -44i + -10iz + 10iz + 8z + -8z

Combine like terms: 44i + -44i = 0
-12 + Z2 + -44i + 10iz + -8z = 0 + -10iz + 10iz + 8z + -8z
-12 + Z2 + -44i + 10iz + -8z = -10iz + 10iz + 8z + -8z

Combine like terms: -10iz + 10iz = 0
-12 + Z2 + -44i + 10iz + -8z = 0 + 8z + -8z
-12 + Z2 + -44i + 10iz + -8z = 8z + -8z

Combine like terms: 8z + -8z = 0
-12 + Z2 + -44i + 10iz + -8z = 0

The solution to this equation could not be determined.

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