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

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


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

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

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

Multiply (-6 + x2) * (6 + x2)
(-6(6 + x2) + x2(6 + x2)) = 0
((6 * -6 + x2 * -6) + x2(6 + x2)) = 0
((-36 + -6x2) + x2(6 + x2)) = 0
(-36 + -6x2 + (6 * x2 + x2 * x2)) = 0
(-36 + -6x2 + (6x2 + x4)) = 0

Combine like terms: -6x2 + 6x2 = 0
(-36 + 0 + x4) = 0
(-36 + x4) = 0

Solving
-36 + x4 = 0

Solving for variable 'x'.

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

Add '36' to each side of the equation.
-36 + 36 + x4 = 0 + 36

Combine like terms: -36 + 36 = 0
0 + x4 = 0 + 36
x4 = 0 + 36

Combine like terms: 0 + 36 = 36
x4 = 36

Simplifying
x4 = 36

Reorder the terms:
-36 + x4 = 36 + -36

Combine like terms: 36 + -36 = 0
-36 + x4 = 0

Factor a difference between two squares.
(6 + x2)(-6 + x2) = 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 '(-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

Take the square root of each side:
x = {-2.449489743, 2.449489743}
Solution
x = {-2.449489743, 2.449489743}

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