2z^6+5z^3-12=0

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Solution for 2z^6+5z^3-12=0 equation: 


Simplifying
2z6 + 5z3 + -12 = 0

Reorder the terms:
-12 + 5z3 + 2z6 = 0

Solving
-12 + 5z3 + 2z6 = 0

Solving for variable 'z'.

Factor a trinomial.
(-4 + -1z3)(3 + -2z3) = 0


Subproblem 1
Set the factor '(-4 + -1z3)' equal to zero and attempt to solve:

Simplifying
-4 + -1z3 = 0

Solving
-4 + -1z3 = 0

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

Add '4' to each side of the equation.
-4 + 4 + -1z3 = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1z3 = 0 + 4
-1z3 = 0 + 4

Combine like terms: 0 + 4 = 4
-1z3 = 4

Divide each side by '-1'.
z3 = -4

Simplifying
z3 = -4

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 '(3 + -2z3)' equal to zero and attempt to solve:

Simplifying
3 + -2z3 = 0

Solving
3 + -2z3 = 0

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

Add '-3' to each side of the equation.
3 + -3 + -2z3 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2z3 = 0 + -3
-2z3 = 0 + -3

Combine like terms: 0 + -3 = -3
-2z3 = -3

Divide each side by '-2'.
z3 = 1.5

Simplifying
z3 = 1.5

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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