3(x^2-5)(x^2+3)=0

Solution for 3(x^2-5)(x^2+3)=0 equation:

Simplifying
3(x2 + -5)(x2 + 3) = 0

Reorder the terms:
3(-5 + x2)(x2 + 3) = 0

Reorder the terms:
3(-5 + x2)(3 + x2) = 0

Multiply (-5 + x2) * (3 + x2)
3(-5(3 + x2) + x2(3 + x2)) = 0
3((3 * -5 + x2 * -5) + x2(3 + x2)) = 0
3((-15 + -5x2) + x2(3 + x2)) = 0
3(-15 + -5x2 + (3 * x2 + x2 * x2)) = 0
3(-15 + -5x2 + (3x2 + x4)) = 0

Combine like terms: -5x2 + 3x2 = -2x2
3(-15 + -2x2 + x4) = 0
(-15 * 3 + -2x2 * 3 + x4 * 3) = 0
(-45 + -6x2 + 3x4) = 0

Solving
-45 + -6x2 + 3x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-15 + -2x2 + x4) = 0

Factor a trinomial.
3((-3 + -1x2)(5 + -1x2)) = 0

Ignore the factor 3.
Subproblem 1
Set the factor '(-3 + -1x2)' equal to zero and attempt to solve:

Simplifying
-3 + -1x2 = 0

Solving
-3 + -1x2 = 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 + -1x2 = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -1x2 = 0 + 3
-1x2 = 0 + 3

Combine like terms: 0 + 3 = 3
-1x2 = 3

Divide each side by '-1'.
x2 = -3

Simplifying
x2 = -3

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 '(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}
Solution
x = {-2.236067978, 2.236067978}