Z^6-(1+2i)z^3-7+i=0

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Solution for Z^6-(1+2i)z^3-7+i=0 equation: 


Simplifying
Z6 + -1(1 + 2i) * z3 + -7 + i = 0

Reorder the terms for easier multiplication:
Z6 + -1z3(1 + 2i) + -7 + i = 0
Z6 + (1 * -1z3 + 2i * -1z3) + -7 + i = 0

Reorder the terms:
Z6 + (-2iz3 + -1z3) + -7 + i = 0
Z6 + (-2iz3 + -1z3) + -7 + i = 0

Reorder the terms:
-7 + Z6 + i + -2iz3 + -1z3 = 0

Solving
-7 + Z6 + i + -2iz3 + -1z3 = 0

Solving for variable 'Z'.

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

Add '7' to each side of the equation.
-7 + Z6 + i + -2iz3 + 7 + -1z3 = 0 + 7

Reorder the terms:
-7 + 7 + Z6 + i + -2iz3 + -1z3 = 0 + 7

Combine like terms: -7 + 7 = 0
0 + Z6 + i + -2iz3 + -1z3 = 0 + 7
Z6 + i + -2iz3 + -1z3 = 0 + 7

Combine like terms: 0 + 7 = 7
Z6 + i + -2iz3 + -1z3 = 7

Add '-1i' to each side of the equation.
Z6 + i + -2iz3 + -1i + -1z3 = 7 + -1i

Reorder the terms:
Z6 + i + -1i + -2iz3 + -1z3 = 7 + -1i

Combine like terms: i + -1i = 0
Z6 + 0 + -2iz3 + -1z3 = 7 + -1i
Z6 + -2iz3 + -1z3 = 7 + -1i

Add '2iz3' to each side of the equation.
Z6 + -2iz3 + 2iz3 + -1z3 = 7 + -1i + 2iz3

Combine like terms: -2iz3 + 2iz3 = 0
Z6 + 0 + -1z3 = 7 + -1i + 2iz3
Z6 + -1z3 = 7 + -1i + 2iz3

Add 'z3' to each side of the equation.
Z6 + -1z3 + z3 = 7 + -1i + 2iz3 + z3

Combine like terms: -1z3 + z3 = 0
Z6 + 0 = 7 + -1i + 2iz3 + z3
Z6 = 7 + -1i + 2iz3 + z3

Simplifying
Z6 = 7 + -1i + 2iz3 + z3

Reorder the terms:
-7 + Z6 + i + -2iz3 + -1z3 = 7 + -1i + 2iz3 + z3 + -7 + i + -2iz3 + -1z3

Reorder the terms:
-7 + Z6 + i + -2iz3 + -1z3 = 7 + -7 + -1i + i + 2iz3 + -2iz3 + z3 + -1z3

Combine like terms: 7 + -7 = 0
-7 + Z6 + i + -2iz3 + -1z3 = 0 + -1i + i + 2iz3 + -2iz3 + z3 + -1z3
-7 + Z6 + i + -2iz3 + -1z3 = -1i + i + 2iz3 + -2iz3 + z3 + -1z3

Combine like terms: -1i + i = 0
-7 + Z6 + i + -2iz3 + -1z3 = 0 + 2iz3 + -2iz3 + z3 + -1z3
-7 + Z6 + i + -2iz3 + -1z3 = 2iz3 + -2iz3 + z3 + -1z3

Combine like terms: 2iz3 + -2iz3 = 0
-7 + Z6 + i + -2iz3 + -1z3 = 0 + z3 + -1z3
-7 + Z6 + i + -2iz3 + -1z3 = z3 + -1z3

Combine like terms: z3 + -1z3 = 0
-7 + Z6 + i + -2iz3 + -1z3 = 0

The solution to this equation could not be determined.

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