X^6-8x^4+2=0

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Solution for X^6-8x^4+2=0 equation:


Simplifying
X6 + -8x4 + 2 = 0

Reorder the terms:
2 + X6 + -8x4 = 0

Solving
2 + X6 + -8x4 = 0

Solving for variable 'X'.

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

Add '-2' to each side of the equation.
2 + X6 + -2 + -8x4 = 0 + -2

Reorder the terms:
2 + -2 + X6 + -8x4 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + X6 + -8x4 = 0 + -2
X6 + -8x4 = 0 + -2

Combine like terms: 0 + -2 = -2
X6 + -8x4 = -2

Add '8x4' to each side of the equation.
X6 + -8x4 + 8x4 = -2 + 8x4

Combine like terms: -8x4 + 8x4 = 0
X6 + 0 = -2 + 8x4
X6 = -2 + 8x4

Simplifying
X6 = -2 + 8x4

Reorder the terms:
2 + X6 + -8x4 = -2 + 8x4 + 2 + -8x4

Reorder the terms:
2 + X6 + -8x4 = -2 + 2 + 8x4 + -8x4

Combine like terms: -2 + 2 = 0
2 + X6 + -8x4 = 0 + 8x4 + -8x4
2 + X6 + -8x4 = 8x4 + -8x4

Combine like terms: 8x4 + -8x4 = 0
2 + X6 + -8x4 = 0

Factor a trinomial.
(X3 + -2x2)(X3 + 4x2) = 0

Subproblem 1

Set the factor '(X3 + -2x2)' equal to zero and attempt to solve: Simplifying X3 + -2x2 = 0 Solving X3 + -2x2 = 0 Move all terms containing X to the left, all other terms to the right. Add '2x2' to each side of the equation. X3 + -2x2 + 2x2 = 0 + 2x2 Combine like terms: -2x2 + 2x2 = 0 X3 + 0 = 0 + 2x2 X3 = 0 + 2x2 Remove the zero: X3 = 2x2 Simplifying X3 = 2x2 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 '(X3 + 4x2)' equal to zero and attempt to solve: Simplifying X3 + 4x2 = 0 Solving X3 + 4x2 = 0 Move all terms containing X to the left, all other terms to the right. Add '-4x2' to each side of the equation. X3 + 4x2 + -4x2 = 0 + -4x2 Combine like terms: 4x2 + -4x2 = 0 X3 + 0 = 0 + -4x2 X3 = 0 + -4x2 Remove the zero: X3 = -4x2 Simplifying X3 = -4x2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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