X^6-3x^4-2x^2-1=0

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Solution for X^6-3x^4-2x^2-1=0 equation:


Simplifying
X6 + -3x4 + -2x2 + -1 = 0

Reorder the terms:
-1 + X6 + -2x2 + -3x4 = 0

Solving
-1 + X6 + -2x2 + -3x4 = 0

Solving for variable 'X'.

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

Add '1' to each side of the equation.
-1 + X6 + -2x2 + 1 + -3x4 = 0 + 1

Reorder the terms:
-1 + 1 + X6 + -2x2 + -3x4 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + X6 + -2x2 + -3x4 = 0 + 1
X6 + -2x2 + -3x4 = 0 + 1

Combine like terms: 0 + 1 = 1
X6 + -2x2 + -3x4 = 1

Add '2x2' to each side of the equation.
X6 + -2x2 + 2x2 + -3x4 = 1 + 2x2

Combine like terms: -2x2 + 2x2 = 0
X6 + 0 + -3x4 = 1 + 2x2
X6 + -3x4 = 1 + 2x2

Add '3x4' to each side of the equation.
X6 + -3x4 + 3x4 = 1 + 2x2 + 3x4

Combine like terms: -3x4 + 3x4 = 0
X6 + 0 = 1 + 2x2 + 3x4
X6 = 1 + 2x2 + 3x4

Simplifying
X6 = 1 + 2x2 + 3x4

Reorder the terms:
-1 + X6 + -2x2 + -3x4 = 1 + 2x2 + 3x4 + -1 + -2x2 + -3x4

Reorder the terms:
-1 + X6 + -2x2 + -3x4 = 1 + -1 + 2x2 + -2x2 + 3x4 + -3x4

Combine like terms: 1 + -1 = 0
-1 + X6 + -2x2 + -3x4 = 0 + 2x2 + -2x2 + 3x4 + -3x4
-1 + X6 + -2x2 + -3x4 = 2x2 + -2x2 + 3x4 + -3x4

Combine like terms: 2x2 + -2x2 = 0
-1 + X6 + -2x2 + -3x4 = 0 + 3x4 + -3x4
-1 + X6 + -2x2 + -3x4 = 3x4 + -3x4

Combine like terms: 3x4 + -3x4 = 0
-1 + X6 + -2x2 + -3x4 = 0

The solution to this equation could not be determined.

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