6x^4+37x^2+6=0

Solution for 6x^4+37x^2+6=0 equation:

Simplifying
6x4 + 37x2 + 6 = 0

Reorder the terms:
6 + 37x2 + 6x4 = 0

Solving
6 + 37x2 + 6x4 = 0

Solving for variable 'x'.

Factor a trinomial.
(6 + x2)(1 + 6x2) = 0

Subproblem 1
Set the factor '(6 + x2)' equal to zero and attempt to solve:

Simplifying
6 + x2 = 0

Solving
6 + x2 = 0

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

Add '-6' to each side of the equation.
6 + -6 + x2 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + x2 = 0 + -6
x2 = 0 + -6

Combine like terms: 0 + -6 = -6
x2 = -6

Simplifying
x2 = -6

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 + 6x2)' equal to zero and attempt to solve:

Simplifying
1 + 6x2 = 0

Solving
1 + 6x2 = 0

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

Add '-1' to each side of the equation.
1 + -1 + 6x2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 6x2 = 0 + -1
6x2 = 0 + -1

Combine like terms: 0 + -1 = -1
6x2 = -1

Divide each side by '6'.
x2 = -0.1666666667

Simplifying
x2 = -0.1666666667

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.