(x^2-8)(x^2-8)=0

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Solution for (x^2-8)(x^2-8)=0 equation: 


Simplifying
(x2 + -8)(x2 + -8) = 0

Reorder the terms:
(-8 + x2)(x2 + -8) = 0

Reorder the terms:
(-8 + x2)(-8 + x2) = 0

Multiply (-8 + x2) * (-8 + x2)
(-8(-8 + x2) + x2(-8 + x2)) = 0
((-8 * -8 + x2 * -8) + x2(-8 + x2)) = 0
((64 + -8x2) + x2(-8 + x2)) = 0
(64 + -8x2 + (-8 * x2 + x2 * x2)) = 0
(64 + -8x2 + (-8x2 + x4)) = 0

Combine like terms: -8x2 + -8x2 = -16x2
(64 + -16x2 + x4) = 0

Solving
64 + -16x2 + x4 = 0

Solving for variable 'x'.

Factor a trinomial.
(8 + -1x2)(8 + -1x2) = 0


Subproblem 1
Set the factor '(8 + -1x2)' equal to zero and attempt to solve:

Simplifying
8 + -1x2 = 0

Solving
8 + -1x2 = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1x2 = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1x2 = 0 + -8
-1x2 = 0 + -8

Combine like terms: 0 + -8 = -8
-1x2 = -8

Divide each side by '-1'.
x2 = 8

Simplifying
x2 = 8

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

Subproblem 2
Set the factor '(8 + -1x2)' equal to zero and attempt to solve:

Simplifying
8 + -1x2 = 0

Solving
8 + -1x2 = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1x2 = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1x2 = 0 + -8
-1x2 = 0 + -8

Combine like terms: 0 + -8 = -8
-1x2 = -8

Divide each side by '-1'.
x2 = 8

Simplifying
x2 = 8

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

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