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

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


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

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

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

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

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

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

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

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

Simplifying
y4 = 4

Reorder the terms:
-4 + y4 = 4 + -4

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

Factor a difference between two squares.
(2 + y2)(-2 + y2) = 0


Subproblem 1
Set the factor '(2 + y2)' equal to zero and attempt to solve:

Simplifying
2 + y2 = 0

Solving
2 + y2 = 0

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

Add '-2' to each side of the equation.
2 + -2 + y2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + y2 = 0 + -2
y2 = 0 + -2

Combine like terms: 0 + -2 = -2
y2 = -2

Simplifying
y2 = -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 '(-2 + y2)' equal to zero and attempt to solve:

Simplifying
-2 + y2 = 0

Solving
-2 + y2 = 0

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

Add '2' to each side of the equation.
-2 + 2 + y2 = 0 + 2

Combine like terms: -2 + 2 = 0
0 + y2 = 0 + 2
y2 = 0 + 2

Combine like terms: 0 + 2 = 2
y2 = 2

Simplifying
y2 = 2

Take the square root of each side:
y = {-1.414213562, 1.414213562}
Solution
y = {-1.414213562, 1.414213562}

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