(4y^2-2)(4y^2+2)=

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

Simplifying
(4y2 + -2)(4y2 + 2) = 0

Reorder the terms:
(-2 + 4y2)(4y2 + 2) = 0

Reorder the terms:
(-2 + 4y2)(2 + 4y2) = 0

Multiply (-2 + 4y2) * (2 + 4y2)
(-2(2 + 4y2) + 4y2 * (2 + 4y2)) = 0
((2 * -2 + 4y2 * -2) + 4y2 * (2 + 4y2)) = 0
((-4 + -8y2) + 4y2 * (2 + 4y2)) = 0
(-4 + -8y2 + (2 * 4y2 + 4y2 * 4y2)) = 0
(-4 + -8y2 + (8y2 + 16y4)) = 0

Combine like terms: -8y2 + 8y2 = 0
(-4 + 0 + 16y4) = 0
(-4 + 16y4) = 0

Solving
-4 + 16y4 = 0

Solving for variable 'y'.

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

Add '4' to each side of the equation.
-4 + 4 + 16y4 = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 16y4 = 0 + 4
16y4 = 0 + 4

Combine like terms: 0 + 4 = 4
16y4 = 4

Divide each side by '16'.
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}