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

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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 = 4x2
(-45 + 4x2 + x4) = 0

Solving
-45 + 4x2 + x4 = 0

Solving for variable 'x'.

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


Subproblem 1
Set the factor '(-9 + -1x2)' equal to zero and attempt to solve:

Simplifying
-9 + -1x2 = 0

Solving
-9 + -1x2 = 0

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

Add '9' to each side of the equation.
-9 + 9 + -1x2 = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -1x2 = 0 + 9
-1x2 = 0 + 9

Combine like terms: 0 + 9 = 9
-1x2 = 9

Divide each side by '-1'.
x2 = -9

Simplifying
x2 = -9

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}

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