(x^2+7)(x^2-1)=0

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Solution for (x^2+7)(x^2-1)=0 equation: 


Simplifying
(x2 + 7)(x2 + -1) = 0

Reorder the terms:
(7 + x2)(x2 + -1) = 0

Reorder the terms:
(7 + x2)(-1 + x2) = 0

Multiply (7 + x2) * (-1 + x2)
(7(-1 + x2) + x2(-1 + x2)) = 0
((-1 * 7 + x2 * 7) + x2(-1 + x2)) = 0
((-7 + 7x2) + x2(-1 + x2)) = 0
(-7 + 7x2 + (-1 * x2 + x2 * x2)) = 0
(-7 + 7x2 + (-1x2 + x4)) = 0

Combine like terms: 7x2 + -1x2 = 6x2
(-7 + 6x2 + x4) = 0

Solving
-7 + 6x2 + x4 = 0

Solving for variable 'x'.

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

Factor a difference between two squares.
(-7 + -1x2)((1 + x)(1 + -1x)) = 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

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 '(1 + x)' equal to zero and attempt to solve:

Simplifying
1 + x = 0

Solving
1 + x = 0

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

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

Combine like terms: 1 + -1 = 0
0 + x = 0 + -1
x = 0 + -1

Combine like terms: 0 + -1 = -1
x = -1

Simplifying
x = -1

Subproblem 3
Set the factor '(1 + -1x)' equal to zero and attempt to solve:

Simplifying
1 + -1x = 0

Solving
1 + -1x = 0

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

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

Combine like terms: 1 + -1 = 0
0 + -1x = 0 + -1
-1x = 0 + -1

Combine like terms: 0 + -1 = -1
-1x = -1

Divide each side by '-1'.
x = 1

Simplifying
x = 1
Solution
x = {-1, 1}

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