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

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


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

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

Add '2' to each side of the equation.
-2 + -2x2 + 2 + x4 = -2 + 2

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

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

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

Solving
-2x2 + x4 = 0

Solving for variable 'x'.

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

Take the square root of each side:
x = {-1.414213562, 1.414213562}
Solution
x = {0, -1.414213562, 1.414213562}

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