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

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


Simplifying
(x2 + 9)(2x2 + -5) = 0

Reorder the terms:
(9 + x2)(2x2 + -5) = 0

Reorder the terms:
(9 + x2)(-5 + 2x2) = 0

Multiply (9 + x2) * (-5 + 2x2)
(9(-5 + 2x2) + x2(-5 + 2x2)) = 0
((-5 * 9 + 2x2 * 9) + x2(-5 + 2x2)) = 0
((-45 + 18x2) + x2(-5 + 2x2)) = 0
(-45 + 18x2 + (-5 * x2 + 2x2 * x2)) = 0
(-45 + 18x2 + (-5x2 + 2x4)) = 0

Combine like terms: 18x2 + -5x2 = 13x2
(-45 + 13x2 + 2x4) = 0

Solving
-45 + 13x2 + 2x4 = 0

Solving for variable 'x'.

Factor a trinomial.
(-9 + -1x2)(5 + -2x2) = 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 + -2x2)' equal to zero and attempt to solve:

Simplifying
5 + -2x2 = 0

Solving
5 + -2x2 = 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 + -2x2 = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -2x2 = 0 + -5
-2x2 = 0 + -5

Combine like terms: 0 + -5 = -5
-2x2 = -5

Divide each side by '-2'.
x2 = 2.5

Simplifying
x2 = 2.5

Take the square root of each side:
x = {-1.58113883, 1.58113883}
Solution
x = {-1.58113883, 1.58113883}

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