(x^2+4)(x^2-6)=0

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Solution for (x^2+4)(x^2-6)=0 equation: 


Simplifying
(x2 + 4)(x2 + -6) = 0

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

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

Multiply (4 + x2) * (-6 + x2)
(4(-6 + x2) + x2(-6 + x2)) = 0
((-6 * 4 + x2 * 4) + x2(-6 + x2)) = 0
((-24 + 4x2) + x2(-6 + x2)) = 0
(-24 + 4x2 + (-6 * x2 + x2 * x2)) = 0
(-24 + 4x2 + (-6x2 + x4)) = 0

Combine like terms: 4x2 + -6x2 = -2x2
(-24 + -2x2 + x4) = 0

Solving
-24 + -2x2 + x4 = 0

Solving for variable 'x'.

Factor a trinomial.
(-4 + -1x2)(6 + -1x2) = 0


Subproblem 1
Set the factor '(-4 + -1x2)' equal to zero and attempt to solve:

Simplifying
-4 + -1x2 = 0

Solving
-4 + -1x2 = 0

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

Add '4' to each side of the equation.
-4 + 4 + -1x2 = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1x2 = 0 + 4
-1x2 = 0 + 4

Combine like terms: 0 + 4 = 4
-1x2 = 4

Divide each side by '-1'.
x2 = -4

Simplifying
x2 = -4

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 + -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

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

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