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

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

Simplifying
(2t2 + -3)(2t2 + 3) = 0

Reorder the terms:
(-3 + 2t2)(2t2 + 3) = 0

Reorder the terms:
(-3 + 2t2)(3 + 2t2) = 0

Multiply (-3 + 2t2) * (3 + 2t2)
(-3(3 + 2t2) + 2t2 * (3 + 2t2)) = 0
((3 * -3 + 2t2 * -3) + 2t2 * (3 + 2t2)) = 0
((-9 + -6t2) + 2t2 * (3 + 2t2)) = 0
(-9 + -6t2 + (3 * 2t2 + 2t2 * 2t2)) = 0
(-9 + -6t2 + (6t2 + 4t4)) = 0

Combine like terms: -6t2 + 6t2 = 0
(-9 + 0 + 4t4) = 0
(-9 + 4t4) = 0

Solving
-9 + 4t4 = 0

Solving for variable 't'.

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

Add '9' to each side of the equation.
-9 + 9 + 4t4 = 0 + 9

Combine like terms: -9 + 9 = 0
0 + 4t4 = 0 + 9
4t4 = 0 + 9

Combine like terms: 0 + 9 = 9
4t4 = 9

Divide each side by '4'.
t4 = 2.25

Simplifying
t4 = 2.25

Reorder the terms:
-2.25 + t4 = 2.25 + -2.25

Combine like terms: 2.25 + -2.25 = 0.00
-2.25 + t4 = 0.00

Factor a difference between two squares.
(1.5 + t2)(-1.5 + t2) = 0.00

Subproblem 1
Set the factor '(1.5 + t2)' equal to zero and attempt to solve:

Simplifying
1.5 + t2 = 0

Solving
1.5 + t2 = 0

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

Add '-1.5' to each side of the equation.
1.5 + -1.5 + t2 = 0 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + t2 = 0 + -1.5
t2 = 0 + -1.5

Combine like terms: 0 + -1.5 = -1.5
t2 = -1.5

Simplifying
t2 = -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 '(-1.5 + t2)' equal to zero and attempt to solve:

Simplifying
-1.5 + t2 = 0

Solving
-1.5 + t2 = 0

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

Add '1.5' to each side of the equation.
-1.5 + 1.5 + t2 = 0 + 1.5

Combine like terms: -1.5 + 1.5 = 0.0
0.0 + t2 = 0 + 1.5
t2 = 0 + 1.5

Combine like terms: 0 + 1.5 = 1.5
t2 = 1.5

Simplifying
t2 = 1.5

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