Z^6+3z^3+1=0

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Solution for Z^6+3z^3+1=0 equation:


Simplifying
Z6 + 3z3 + 1 = 0

Reorder the terms:
1 + Z6 + 3z3 = 0

Solving
1 + Z6 + 3z3 = 0

Solving for variable 'Z'.

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

Add '-1' to each side of the equation.
1 + Z6 + -1 + 3z3 = 0 + -1

Reorder the terms:
1 + -1 + Z6 + 3z3 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + Z6 + 3z3 = 0 + -1
Z6 + 3z3 = 0 + -1

Combine like terms: 0 + -1 = -1
Z6 + 3z3 = -1

Add '-3z3' to each side of the equation.
Z6 + 3z3 + -3z3 = -1 + -3z3

Combine like terms: 3z3 + -3z3 = 0
Z6 + 0 = -1 + -3z3
Z6 = -1 + -3z3

Simplifying
Z6 = -1 + -3z3

Reorder the terms:
1 + Z6 + 3z3 = -1 + -3z3 + 1 + 3z3

Reorder the terms:
1 + Z6 + 3z3 = -1 + 1 + -3z3 + 3z3

Combine like terms: -1 + 1 = 0
1 + Z6 + 3z3 = 0 + -3z3 + 3z3
1 + Z6 + 3z3 = -3z3 + 3z3

Combine like terms: -3z3 + 3z3 = 0
1 + Z6 + 3z3 = 0

The solution to this equation could not be determined.

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