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

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

Simplifying
(x2 + 2)(2x2 + -3) = 0

Reorder the terms:
(2 + x2)(2x2 + -3) = 0

Reorder the terms:
(2 + x2)(-3 + 2x2) = 0

Multiply (2 + x2) * (-3 + 2x2)
(2(-3 + 2x2) + x2(-3 + 2x2)) = 0
((-3 * 2 + 2x2 * 2) + x2(-3 + 2x2)) = 0
((-6 + 4x2) + x2(-3 + 2x2)) = 0
(-6 + 4x2 + (-3 * x2 + 2x2 * x2)) = 0
(-6 + 4x2 + (-3x2 + 2x4)) = 0

Combine like terms: 4x2 + -3x2 = 1x2
(-6 + 1x2 + 2x4) = 0

Solving
-6 + 1x2 + 2x4 = 0

Solving for variable 'x'.

Factor a trinomial.
(-2 + -1x2)(3 + -2x2) = 0

Subproblem 1
Set the factor '(-2 + -1x2)' equal to zero and attempt to solve:

Simplifying
-2 + -1x2 = 0

Solving
-2 + -1x2 = 0

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

Add '2' to each side of the equation.
-2 + 2 + -1x2 = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1x2 = 0 + 2
-1x2 = 0 + 2

Combine like terms: 0 + 2 = 2
-1x2 = 2

Divide each side by '-1'.
x2 = -2

Simplifying
x2 = -2

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 '(3 + -2x2)' equal to zero and attempt to solve:

Simplifying
3 + -2x2 = 0

Solving
3 + -2x2 = 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 + -2x2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2x2 = 0 + -3
-2x2 = 0 + -3

Combine like terms: 0 + -3 = -3
-2x2 = -3

Divide each side by '-2'.
x2 = 1.5

Simplifying
x2 = 1.5

Take the square root of each side:
x = {-1.224744871, 1.224744871}
Solution
x = {-1.224744871, 1.224744871}