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

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Solution for (x^2+7)(x^2-7)= 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 = 0
(-49 + 0 + x4) = 0
(-49 + x4) = 0

Solving
-49 + x4 = 0

Solving for variable 'x'.

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

Add '49' to each side of the equation.
-49 + 49 + x4 = 0 + 49

Combine like terms: -49 + 49 = 0
0 + x4 = 0 + 49
x4 = 0 + 49

Combine like terms: 0 + 49 = 49
x4 = 49

Simplifying
x4 = 49

Reorder the terms:
-49 + x4 = 49 + -49

Combine like terms: 49 + -49 = 0
-49 + x4 = 0

Factor a difference between two squares.
(7 + x2)(-7 + x2) = 0


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

Simplifying
7 + x2 = 0

Solving
7 + x2 = 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 + x2 = 0 + -7

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

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

Simplifying
x2 = -7

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 '(-7 + x2)' equal to zero and attempt to solve:

Simplifying
-7 + x2 = 0

Solving
-7 + x2 = 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 + x2 = 0 + 7

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

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

Simplifying
x2 = 7

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

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