(x^2-9)(x^2-5)=0

Solution for (x^2-9)(x^2-5)=0 equation:

Simplifying
(x2 + -9)(x2 + -5) = 0

Reorder the terms:
(-9 + x2)(x2 + -5) = 0

Reorder the terms:
(-9 + x2)(-5 + x2) = 0

Multiply (-9 + x2) * (-5 + x2)
(-9(-5 + x2) + x2(-5 + x2)) = 0
((-5 * -9 + x2 * -9) + x2(-5 + x2)) = 0
((45 + -9x2) + x2(-5 + x2)) = 0
(45 + -9x2 + (-5 * x2 + x2 * x2)) = 0
(45 + -9x2 + (-5x2 + x4)) = 0

Combine like terms: -9x2 + -5x2 = -14x2
(45 + -14x2 + x4) = 0

Solving
45 + -14x2 + x4 = 0

Solving for variable 'x'.

Factor a trinomial.
(5 + -1x2)(9 + -1x2) = 0

Factor a difference between two squares.
(5 + -1x2)((3 + x)(3 + -1x)) = 0

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

Simplifying
5 + -1x2 = 0

Solving
5 + -1x2 = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1x2 = 0 + -5

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

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

Divide each side by '-1'.
x2 = 5

Simplifying
x2 = 5

Take the square root of each side:
x = {-2.236067978, 2.236067978}
Subproblem 2
Set the factor '(3 + x)' equal to zero and attempt to solve:

Simplifying
3 + x = 0

Solving
3 + x = 0

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

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

Combine like terms: 3 + -3 = 0
0 + x = 0 + -3
x = 0 + -3

Combine like terms: 0 + -3 = -3
x = -3

Simplifying
x = -3
Subproblem 3
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Solution
x = {-2.236067978, 2.236067978, -3, 3}