(3x^2+1)(2x^2-9)=

Solution for (3x^2+1)(2x^2-9)= equation:

Simplifying
(3x2 + 1)(2x2 + -9) = 0

Reorder the terms:
(1 + 3x2)(2x2 + -9) = 0

Reorder the terms:
(1 + 3x2)(-9 + 2x2) = 0

Multiply (1 + 3x2) * (-9 + 2x2)
(1(-9 + 2x2) + 3x2 * (-9 + 2x2)) = 0
((-9 * 1 + 2x2 * 1) + 3x2 * (-9 + 2x2)) = 0
((-9 + 2x2) + 3x2 * (-9 + 2x2)) = 0
(-9 + 2x2 + (-9 * 3x2 + 2x2 * 3x2)) = 0
(-9 + 2x2 + (-27x2 + 6x4)) = 0

Combine like terms: 2x2 + -27x2 = -25x2
(-9 + -25x2 + 6x4) = 0

Solving
-9 + -25x2 + 6x4 = 0

Solving for variable 'x'.

Factor a trinomial.
(-1 + -3x2)(9 + -2x2) = 0

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 '(9 + -2x2)' equal to zero and attempt to solve:

Simplifying
9 + -2x2 = 0

Solving
9 + -2x2 = 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 + -2x2 = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -2x2 = 0 + -9
-2x2 = 0 + -9

Combine like terms: 0 + -9 = -9
-2x2 = -9

Divide each side by '-2'.
x2 = 4.5

Simplifying
x2 = 4.5

Take the square root of each side:
x = {-2.121320344, 2.121320344}
Solution
x = {-2.121320344, 2.121320344}