(x^2+6)(x^2-2)=

Solution for (x^2+6)(x^2-2)= equation:

Simplifying
(x2 + 6)(x2 + -2) = 0

Reorder the terms:
(6 + x2)(x2 + -2) = 0

Reorder the terms:
(6 + x2)(-2 + x2) = 0

Multiply (6 + x2) * (-2 + x2)
(6(-2 + x2) + x2(-2 + x2)) = 0
((-2 * 6 + x2 * 6) + x2(-2 + x2)) = 0
((-12 + 6x2) + x2(-2 + x2)) = 0
(-12 + 6x2 + (-2 * x2 + x2 * x2)) = 0
(-12 + 6x2 + (-2x2 + x4)) = 0

Combine like terms: 6x2 + -2x2 = 4x2
(-12 + 4x2 + x4) = 0

Solving
-12 + 4x2 + x4 = 0

Solving for variable 'x'.

Factor a trinomial.
(-6 + -1x2)(2 + -1x2) = 0

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

Simplifying
-6 + -1x2 = 0

Solving
-6 + -1x2 = 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 + -1x2 = 0 + 6

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

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

Divide each side by '-1'.
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 '(2 + -1x2)' equal to zero and attempt to solve:

Simplifying
2 + -1x2 = 0

Solving
2 + -1x2 = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x2 = 0 + -2
-1x2 = 0 + -2

Combine like terms: 0 + -2 = -2
-1x2 = -2

Divide each side by '-1'.
x2 = 2

Simplifying
x2 = 2

Take the square root of each side:
x = {-1.414213562, 1.414213562}
Solution
x = {-1.414213562, 1.414213562}