(2y-1)(2y+1)(4y^2+1)=

Solution for (2y-1)(2y+1)(4y^2+1)= equation:

Simplifying
(2y + -1)(2y + 1)(4y2 + 1) = 0

Reorder the terms:
(-1 + 2y)(2y + 1)(4y2 + 1) = 0

Reorder the terms:
(-1 + 2y)(1 + 2y)(4y2 + 1) = 0

Reorder the terms:
(-1 + 2y)(1 + 2y)(1 + 4y2) = 0

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

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

Multiply (-1 + 4y2) * (1 + 4y2)
(-1(1 + 4y2) + 4y2 * (1 + 4y2)) = 0
((1 * -1 + 4y2 * -1) + 4y2 * (1 + 4y2)) = 0
((-1 + -4y2) + 4y2 * (1 + 4y2)) = 0
(-1 + -4y2 + (1 * 4y2 + 4y2 * 4y2)) = 0
(-1 + -4y2 + (4y2 + 16y4)) = 0

Combine like terms: -4y2 + 4y2 = 0
(-1 + 0 + 16y4) = 0
(-1 + 16y4) = 0

Solving
-1 + 16y4 = 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 + 16y4 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 16y4 = 0 + 1
16y4 = 0 + 1

Combine like terms: 0 + 1 = 1
16y4 = 1

Divide each side by '16'.
y4 = 0.0625

Simplifying
y4 = 0.0625

Reorder the terms:
-0.0625 + y4 = 0.0625 + -0.0625

Combine like terms: 0.0625 + -0.0625 = 0.0000
-0.0625 + y4 = 0.0000

Factor a difference between two squares.
(0.25 + y2)(-0.25 + y2) = 0.0000

Factor a difference between two squares.
(0.25 + y2)((0.5 + y)(-0.5 + y)) = 0.0000

Subproblem 1
Set the factor '(0.25 + y2)' equal to zero and attempt to solve:

Simplifying
0.25 + y2 = 0

Solving
0.25 + y2 = 0

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

Add '-0.25' to each side of the equation.
0.25 + -0.25 + y2 = 0 + -0.25

Combine like terms: 0.25 + -0.25 = 0.00
0.00 + y2 = 0 + -0.25
y2 = 0 + -0.25

Combine like terms: 0 + -0.25 = -0.25
y2 = -0.25

Simplifying
y2 = -0.25

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 + y)' equal to zero and attempt to solve:

Simplifying
0.5 + y = 0

Solving
0.5 + y = 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 + y = 0 + -0.5

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

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

Simplifying
y = -0.5
Subproblem 3
Set the factor '(-0.5 + y)' equal to zero and attempt to solve:

Simplifying
-0.5 + y = 0

Solving
-0.5 + y = 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 + y = 0 + 0.5

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

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

Simplifying
y = 0.5
Solution
y = {-0.5, 0.5}