(x^2-7)(x^2-7)=0

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Solution for (x^2-7)(x^2-7)=0 equation: 


Simplifying
(x2 + -7)(x2 + -7) = 0

Reorder the terms:
(-7 + x2)(x2 + -7) = 0

Reorder the terms:
(-7 + x2)(-7 + x2) = 0

Multiply (-7 + x2) * (-7 + x2)
(-7(-7 + x2) + x2(-7 + x2)) = 0
((-7 * -7 + x2 * -7) + x2(-7 + x2)) = 0
((49 + -7x2) + x2(-7 + x2)) = 0
(49 + -7x2 + (-7 * x2 + x2 * x2)) = 0
(49 + -7x2 + (-7x2 + x4)) = 0

Combine like terms: -7x2 + -7x2 = -14x2
(49 + -14x2 + x4) = 0

Solving
49 + -14x2 + x4 = 0

Solving for variable 'x'.

Factor a trinomial.
(7 + -1x2)(7 + -1x2) = 0


Subproblem 1
Set the factor '(7 + -1x2)' equal to zero and attempt to solve:

Simplifying
7 + -1x2 = 0

Solving
7 + -1x2 = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1x2 = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1x2 = 0 + -7
-1x2 = 0 + -7

Combine like terms: 0 + -7 = -7
-1x2 = -7

Divide each side by '-1'.
x2 = 7

Simplifying
x2 = 7

Take the square root of each side:
x = {-2.645751311, 2.645751311}

Subproblem 2
Set the factor '(7 + -1x2)' equal to zero and attempt to solve:

Simplifying
7 + -1x2 = 0

Solving
7 + -1x2 = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1x2 = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1x2 = 0 + -7
-1x2 = 0 + -7

Combine like terms: 0 + -7 = -7
-1x2 = -7

Divide each side by '-1'.
x2 = 7

Simplifying
x2 = 7

Take the square root of each side:
x = {-2.645751311, 2.645751311}
Solution
x = {-2.645751311, 2.645751311, -2.645751311, 2.645751311}

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