10z^6+11z^3-6=

Solution for 10z^6+11z^3-6= equation:

Simplifying
10z6 + 11z3 + -6 = 0

Reorder the terms:
-6 + 11z3 + 10z6 = 0

Solving
-6 + 11z3 + 10z6 = 0

Solving for variable 'z'.

Factor a trinomial.
(-3 + -2z3)(2 + -5z3) = 0

Subproblem 1
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.
Subproblem 2
Set the factor '(2 + -5z3)' equal to zero and attempt to solve:

Simplifying
2 + -5z3 = 0

Solving
2 + -5z3 = 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 + -5z3 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -5z3 = 0 + -2
-5z3 = 0 + -2

Combine like terms: 0 + -2 = -2
-5z3 = -2

Divide each side by '-5'.
z3 = 0.4

Simplifying
z3 = 0.4

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.