(10y^2-2)(10y^2+2)=

Solution for (10y^2-2)(10y^2+2)= equation:

Simplifying
(10y2 + -2)(10y2 + 2) = 0

Reorder the terms:
(-2 + 10y2)(10y2 + 2) = 0

Reorder the terms:
(-2 + 10y2)(2 + 10y2) = 0

Multiply (-2 + 10y2) * (2 + 10y2)
(-2(2 + 10y2) + 10y2 * (2 + 10y2)) = 0
((2 * -2 + 10y2 * -2) + 10y2 * (2 + 10y2)) = 0
((-4 + -20y2) + 10y2 * (2 + 10y2)) = 0
(-4 + -20y2 + (2 * 10y2 + 10y2 * 10y2)) = 0
(-4 + -20y2 + (20y2 + 100y4)) = 0

Combine like terms: -20y2 + 20y2 = 0
(-4 + 0 + 100y4) = 0
(-4 + 100y4) = 0

Solving
-4 + 100y4 = 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 + 100y4 = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 100y4 = 0 + 4
100y4 = 0 + 4

Combine like terms: 0 + 4 = 4
100y4 = 4

Divide each side by '100'.
y4 = 0.04

Simplifying
y4 = 0.04

Reorder the terms:
-0.04 + y4 = 0.04 + -0.04

Combine like terms: 0.04 + -0.04 = 0.00
-0.04 + y4 = 0.00

Factor a difference between two squares.
(0.2 + y2)(-0.2 + y2) = 0.00

Subproblem 1
Set the factor '(0.2 + y2)' equal to zero and attempt to solve:

Simplifying
0.2 + y2 = 0

Solving
0.2 + y2 = 0

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

Add '-0.2' to each side of the equation.
0.2 + -0.2 + y2 = 0 + -0.2

Combine like terms: 0.2 + -0.2 = 0.0
0.0 + y2 = 0 + -0.2
y2 = 0 + -0.2

Combine like terms: 0 + -0.2 = -0.2
y2 = -0.2

Simplifying
y2 = -0.2

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 '(-0.2 + y2)' equal to zero and attempt to solve:

Simplifying
-0.2 + y2 = 0

Solving
-0.2 + y2 = 0

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

Add '0.2' to each side of the equation.
-0.2 + 0.2 + y2 = 0 + 0.2

Combine like terms: -0.2 + 0.2 = 0.0
0.0 + y2 = 0 + 0.2
y2 = 0 + 0.2

Combine like terms: 0 + 0.2 = 0.2
y2 = 0.2

Simplifying
y2 = 0.2

Take the square root of each side:
y = {-0.447213596, 0.447213596}
Solution
y = {-0.447213596, 0.447213596}