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

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

Simplifying
(x2 + -5)(2x2 + 3) = 0

Reorder the terms:
(-5 + x2)(2x2 + 3) = 0

Reorder the terms:
(-5 + x2)(3 + 2x2) = 0

Multiply (-5 + x2) * (3 + 2x2)
(-5(3 + 2x2) + x2(3 + 2x2)) = 0
((3 * -5 + 2x2 * -5) + x2(3 + 2x2)) = 0
((-15 + -10x2) + x2(3 + 2x2)) = 0
(-15 + -10x2 + (3 * x2 + 2x2 * x2)) = 0
(-15 + -10x2 + (3x2 + 2x4)) = 0

Combine like terms: -10x2 + 3x2 = -7x2
(-15 + -7x2 + 2x4) = 0

Solving
-15 + -7x2 + 2x4 = 0

Solving for variable 'x'.

Factor a trinomial.
(-3 + -2x2)(5 + -1x2) = 0

Subproblem 1
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

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}