6a^4+2a^2-4=0

Solution for 6a^4+2a^2-4=0 equation:

Simplifying
6a4 + 2a2 + -4 = 0

Reorder the terms:
-4 + 2a2 + 6a4 = 0

Solving
-4 + 2a2 + 6a4 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-2 + a2 + 3a4) = 0

Factor a trinomial.
2((-1 + -1a2)(2 + -3a2)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-1 + -1a2)' equal to zero and attempt to solve:

Simplifying
-1 + -1a2 = 0

Solving
-1 + -1a2 = 0

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

Add '1' to each side of the equation.
-1 + 1 + -1a2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -1a2 = 0 + 1
-1a2 = 0 + 1

Combine like terms: 0 + 1 = 1
-1a2 = 1

Divide each side by '-1'.
a2 = -1

Simplifying
a2 = -1

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 + -3a2)' equal to zero and attempt to solve:

Simplifying
2 + -3a2 = 0

Solving
2 + -3a2 = 0

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

Add '-2' to each side of the equation.
2 + -2 + -3a2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -3a2 = 0 + -2
-3a2 = 0 + -2

Combine like terms: 0 + -2 = -2
-3a2 = -2

Divide each side by '-3'.
a2 = 0.6666666667

Simplifying
a2 = 0.6666666667

Take the square root of each side:
a = {-0.816496581, 0.816496581}
Solution
a = {-0.816496581, 0.816496581}