(y^2+8)(y^2-8)=

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Solution for (y^2+8)(y^2-8)= equation: 


Simplifying
(y2 + 8)(y2 + -8) = 0

Reorder the terms:
(8 + y2)(y2 + -8) = 0

Reorder the terms:
(8 + y2)(-8 + y2) = 0

Multiply (8 + y2) * (-8 + y2)
(8(-8 + y2) + y2(-8 + y2)) = 0
((-8 * 8 + y2 * 8) + y2(-8 + y2)) = 0
((-64 + 8y2) + y2(-8 + y2)) = 0
(-64 + 8y2 + (-8 * y2 + y2 * y2)) = 0
(-64 + 8y2 + (-8y2 + y4)) = 0

Combine like terms: 8y2 + -8y2 = 0
(-64 + 0 + y4) = 0
(-64 + y4) = 0

Solving
-64 + y4 = 0

Solving for variable 'y'.

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

Add '64' to each side of the equation.
-64 + 64 + y4 = 0 + 64

Combine like terms: -64 + 64 = 0
0 + y4 = 0 + 64
y4 = 0 + 64

Combine like terms: 0 + 64 = 64
y4 = 64

Simplifying
y4 = 64

Reorder the terms:
-64 + y4 = 64 + -64

Combine like terms: 64 + -64 = 0
-64 + y4 = 0

Factor a difference between two squares.
(8 + y2)(-8 + y2) = 0


Subproblem 1
Set the factor '(8 + y2)' equal to zero and attempt to solve:

Simplifying
8 + y2 = 0

Solving
8 + y2 = 0

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

Add '-8' to each side of the equation.
8 + -8 + y2 = 0 + -8

Combine like terms: 8 + -8 = 0
0 + y2 = 0 + -8
y2 = 0 + -8

Combine like terms: 0 + -8 = -8
y2 = -8

Simplifying
y2 = -8

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 '(-8 + y2)' equal to zero and attempt to solve:

Simplifying
-8 + y2 = 0

Solving
-8 + y2 = 0

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

Add '8' to each side of the equation.
-8 + 8 + y2 = 0 + 8

Combine like terms: -8 + 8 = 0
0 + y2 = 0 + 8
y2 = 0 + 8

Combine like terms: 0 + 8 = 8
y2 = 8

Simplifying
y2 = 8

Take the square root of each side:
y = {-2.828427125, 2.828427125}
Solution
y = {-2.828427125, 2.828427125}

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