14z^4+33z^2+18=

Solution for 14z^4+33z^2+18= equation:

Simplifying
14z4 + 33z2 + 18 = 0

Reorder the terms:
18 + 33z2 + 14z4 = 0

Solving
18 + 33z2 + 14z4 = 0

Solving for variable 'z'.

Factor a trinomial.
(3 + 2z2)(6 + 7z2) = 0

Subproblem 1
Set the factor '(3 + 2z2)' equal to zero and attempt to solve:

Simplifying
3 + 2z2 = 0

Solving
3 + 2z2 = 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 + 2z2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 2z2 = 0 + -3
2z2 = 0 + -3

Combine like terms: 0 + -3 = -3
2z2 = -3

Divide each side by '2'.
z2 = -1.5

Simplifying
z2 = -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 '(6 + 7z2)' equal to zero and attempt to solve:

Simplifying
6 + 7z2 = 0

Solving
6 + 7z2 = 0

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

Add '-6' to each side of the equation.
6 + -6 + 7z2 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 7z2 = 0 + -6
7z2 = 0 + -6

Combine like terms: 0 + -6 = -6
7z2 = -6

Divide each side by '7'.
z2 = -0.8571428571

Simplifying
z2 = -0.8571428571

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.