(8x^2-3)(6x^2+2)=

Solution for (8x^2-3)(6x^2+2)= equation:

Simplifying
(8x2 + -3)(6x2 + 2) = 0

Reorder the terms:
(-3 + 8x2)(6x2 + 2) = 0

Reorder the terms:
(-3 + 8x2)(2 + 6x2) = 0

Multiply (-3 + 8x2) * (2 + 6x2)
(-3(2 + 6x2) + 8x2 * (2 + 6x2)) = 0
((2 * -3 + 6x2 * -3) + 8x2 * (2 + 6x2)) = 0
((-6 + -18x2) + 8x2 * (2 + 6x2)) = 0
(-6 + -18x2 + (2 * 8x2 + 6x2 * 8x2)) = 0
(-6 + -18x2 + (16x2 + 48x4)) = 0

Combine like terms: -18x2 + 16x2 = -2x2
(-6 + -2x2 + 48x4) = 0

Solving
-6 + -2x2 + 48x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-3 + -1x2 + 24x4) = 0

Factor a trinomial.
2((-1 + -3x2)(3 + -8x2)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-1 + -3x2)' equal to zero and attempt to solve:

Simplifying
-1 + -3x2 = 0

Solving
-1 + -3x2 = 0

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

Add '1' to each side of the equation.
-1 + 1 + -3x2 = 0 + 1

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

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

Divide each side by '-3'.
x2 = -0.3333333333

Simplifying
x2 = -0.3333333333

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 + -8x2)' equal to zero and attempt to solve:

Simplifying
3 + -8x2 = 0

Solving
3 + -8x2 = 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 + -8x2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -8x2 = 0 + -3
-8x2 = 0 + -3

Combine like terms: 0 + -3 = -3
-8x2 = -3

Divide each side by '-8'.
x2 = 0.375

Simplifying
x2 = 0.375

Take the square root of each side:
x = {-0.612372436, 0.612372436}
Solution
x = {-0.612372436, 0.612372436}