(x^6+x^4+x^2)(x^2-1)=0

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Solution for (x^6+x^4+x^2)(x^2-1)=0 equation: 


Simplifying
(x6 + x4 + x2)(x2 + -1) = 0

Reorder the terms:
(x2 + x4 + x6)(x2 + -1) = 0

Reorder the terms:
(x2 + x4 + x6)(-1 + x2) = 0

Multiply (x2 + x4 + x6) * (-1 + x2)
(x2(-1 + x2) + x4(-1 + x2) + x6(-1 + x2)) = 0
((-1 * x2 + x2 * x2) + x4(-1 + x2) + x6(-1 + x2)) = 0
((-1x2 + x4) + x4(-1 + x2) + x6(-1 + x2)) = 0
(-1x2 + x4 + (-1 * x4 + x2 * x4) + x6(-1 + x2)) = 0
(-1x2 + x4 + (-1x4 + x6) + x6(-1 + x2)) = 0
(-1x2 + x4 + -1x4 + x6 + (-1 * x6 + x2 * x6)) = 0
(-1x2 + x4 + -1x4 + x6 + (-1x6 + x8)) = 0

Combine like terms: x4 + -1x4 = 0
(-1x2 + 0 + x6 + -1x6 + x8) = 0
(-1x2 + x6 + -1x6 + x8) = 0

Combine like terms: x6 + -1x6 = 0
(-1x2 + 0 + x8) = 0
(-1x2 + x8) = 0

Solving
-1x2 + x8 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(-1 + x6) = 0

Factor a difference between two squares.
x2((1 + x3)(-1 + x3)) = 0


Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve:

Simplifying
x2 = 0

Solving
x2 = 0

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

Simplifying
x2 = 0

Take the square root of each side:
x = {0}

Subproblem 2
Set the factor '(1 + x3)' equal to zero and attempt to solve:

Simplifying
1 + x3 = 0

Solving
1 + x3 = 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 + x3 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + x3 = 0 + -1
x3 = 0 + -1

Combine like terms: 0 + -1 = -1
x3 = -1

Simplifying
x3 = -1

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 3
Set the factor '(-1 + x3)' equal to zero and attempt to solve:

Simplifying
-1 + x3 = 0

Solving
-1 + x3 = 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 + x3 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + x3 = 0 + 1
x3 = 0 + 1

Combine like terms: 0 + 1 = 1
x3 = 1

Simplifying
x3 = 1

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}

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