(2y^2-1)(2y^2+1)=

Solution for (2y^2-1)(2y^2+1)= equation:

Simplifying
(2y2 + -1)(2y2 + 1) = 0

Reorder the terms:
(-1 + 2y2)(2y2 + 1) = 0

Reorder the terms:
(-1 + 2y2)(1 + 2y2) = 0

Multiply (-1 + 2y2) * (1 + 2y2)
(-1(1 + 2y2) + 2y2 * (1 + 2y2)) = 0
((1 * -1 + 2y2 * -1) + 2y2 * (1 + 2y2)) = 0
((-1 + -2y2) + 2y2 * (1 + 2y2)) = 0
(-1 + -2y2 + (1 * 2y2 + 2y2 * 2y2)) = 0
(-1 + -2y2 + (2y2 + 4y4)) = 0

Combine like terms: -2y2 + 2y2 = 0
(-1 + 0 + 4y4) = 0
(-1 + 4y4) = 0

Solving
-1 + 4y4 = 0

Solving for variable 'y'.

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

Add '1' to each side of the equation.
-1 + 1 + 4y4 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 4y4 = 0 + 1
4y4 = 0 + 1

Combine like terms: 0 + 1 = 1
4y4 = 1

Divide each side by '4'.
y4 = 0.25

Simplifying
y4 = 0.25

Reorder the terms:
-0.25 + y4 = 0.25 + -0.25

Combine like terms: 0.25 + -0.25 = 0.00
-0.25 + y4 = 0.00

Factor a difference between two squares.
(0.5 + y2)(-0.5 + y2) = 0.00

Subproblem 1
Set the factor '(0.5 + y2)' equal to zero and attempt to solve:

Simplifying
0.5 + y2 = 0

Solving
0.5 + y2 = 0

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

Add '-0.5' to each side of the equation.
0.5 + -0.5 + y2 = 0 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + y2 = 0 + -0.5
y2 = 0 + -0.5

Combine like terms: 0 + -0.5 = -0.5
y2 = -0.5

Simplifying
y2 = -0.5

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 '(-0.5 + y2)' equal to zero and attempt to solve:

Simplifying
-0.5 + y2 = 0

Solving
-0.5 + y2 = 0

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

Add '0.5' to each side of the equation.
-0.5 + 0.5 + y2 = 0 + 0.5

Combine like terms: -0.5 + 0.5 = 0.0
0.0 + y2 = 0 + 0.5
y2 = 0 + 0.5

Combine like terms: 0 + 0.5 = 0.5
y2 = 0.5

Simplifying
y2 = 0.5

Take the square root of each side:
y = {-0.707106781, 0.707106781}
Solution
y = {-0.707106781, 0.707106781}