# 5x^4+31x^2+6=0

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## Solution for 5x^4+31x^2+6=0 equation:

Simplifying
5x4 + 31x2 + 6 = 0

Reorder the terms:
6 + 31x2 + 5x4 = 0

Solving
6 + 31x2 + 5x4 = 0

Solving for variable 'x'.

Factor a trinomial.
(6 + x2)(1 + 5x2) = 0

Subproblem 1Set 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 2Set the factor '(1 + 5x2)' equal to zero and attempt to solve:

Simplifying
1 + 5x2 = 0

Solving
1 + 5x2 = 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 + 5x2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 5x2 = 0 + -1
5x2 = 0 + -1

Combine like terms: 0 + -1 = -1
5x2 = -1

Divide each side by '5'.
x2 = -0.2

Simplifying
x2 = -0.2

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.`