3Z^6=Z^3+2

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Solution for 3Z^6=Z^3+2 equation: 


Simplifying
3Z6 = Z3 + 2

Reorder the terms:
3Z6 = 2 + Z3

Solving
3Z6 = 2 + Z3

Solving for variable 'Z'.

Reorder the terms:
-2 + -1Z3 + 3Z6 = 2 + Z3 + -2 + -1Z3

Reorder the terms:
-2 + -1Z3 + 3Z6 = 2 + -2 + Z3 + -1Z3

Combine like terms: 2 + -2 = 0
-2 + -1Z3 + 3Z6 = 0 + Z3 + -1Z3
-2 + -1Z3 + 3Z6 = Z3 + -1Z3

Combine like terms: Z3 + -1Z3 = 0
-2 + -1Z3 + 3Z6 = 0

Factor a trinomial.
(-2 + -3Z3)(1 + -1Z3) = 0


Subproblem 1
Set the factor '(-2 + -3Z3)' equal to zero and attempt to solve:

Simplifying
-2 + -3Z3 = 0

Solving
-2 + -3Z3 = 0

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

Add '2' to each side of the equation.
-2 + 2 + -3Z3 = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -3Z3 = 0 + 2
-3Z3 = 0 + 2

Combine like terms: 0 + 2 = 2
-3Z3 = 2

Divide each side by '-3'.
Z3 = -0.6666666667

Simplifying
Z3 = -0.6666666667

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(1 + -1Z3)' equal to zero and attempt to solve:

Simplifying
1 + -1Z3 = 0

Solving
1 + -1Z3 = 0

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

Add '-1' to each side of the equation.
1 + -1 + -1Z3 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1Z3 = 0 + -1
-1Z3 = 0 + -1

Combine like terms: 0 + -1 = -1
-1Z3 = -1

Divide each side by '-1'.
Z3 = 1

Simplifying
Z3 = 1

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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