x^4-2x^4-2x^2=0

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Solution for x^4-2x^4-2x^2=0 equation: 


Simplifying
x4 + -2x4 + -2x2 = 0

Reorder the terms:
-2x2 + x4 + -2x4 = 0

Combine like terms: x4 + -2x4 = -1x4
-2x2 + -1x4 = 0

Solving
-2x2 + -1x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-1x2'.
-1x2(2 + x2) = 0

Ignore the factor -1.

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

Simplifying
2 + x2 = 0

Solving
2 + x2 = 0

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

Add '-2' to each side of the equation.
2 + -2 + x2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + x2 = 0 + -2
x2 = 0 + -2

Combine like terms: 0 + -2 = -2
x2 = -2

Simplifying
x2 = -2

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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