(3x^2-2)(4x^2+3)=

Solution for (3x^2-2)(4x^2+3)= equation:

Simplifying
(3x2 + -2)(4x2 + 3) = 0

Reorder the terms:
(-2 + 3x2)(4x2 + 3) = 0

Reorder the terms:
(-2 + 3x2)(3 + 4x2) = 0

Multiply (-2 + 3x2) * (3 + 4x2)
(-2(3 + 4x2) + 3x2 * (3 + 4x2)) = 0
((3 * -2 + 4x2 * -2) + 3x2 * (3 + 4x2)) = 0
((-6 + -8x2) + 3x2 * (3 + 4x2)) = 0
(-6 + -8x2 + (3 * 3x2 + 4x2 * 3x2)) = 0
(-6 + -8x2 + (9x2 + 12x4)) = 0

Combine like terms: -8x2 + 9x2 = 1x2
(-6 + 1x2 + 12x4) = 0

Solving
-6 + 1x2 + 12x4 = 0

Solving for variable 'x'.

Factor a trinomial.
(-3 + -4x2)(2 + -3x2) = 0

Subproblem 1
Set the factor '(-3 + -4x2)' equal to zero and attempt to solve:

Simplifying
-3 + -4x2 = 0

Solving
-3 + -4x2 = 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 + -4x2 = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -4x2 = 0 + 3
-4x2 = 0 + 3

Combine like terms: 0 + 3 = 3
-4x2 = 3

Divide each side by '-4'.
x2 = -0.75

Simplifying
x2 = -0.75

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

Simplifying
2 + -3x2 = 0

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

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

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

Divide each side by '-3'.
x2 = 0.6666666667

Simplifying
x2 = 0.6666666667

Take the square root of each side:
x = {-0.816496581, 0.816496581}
Solution
x = {-0.816496581, 0.816496581}