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

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


Simplifying
X6 + -4x2 + -3 = 0

Reorder the terms:
-3 + X6 + -4x2 = 0

Solving
-3 + X6 + -4x2 = 0

Solving for variable 'X'.

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

Add '3' to each side of the equation.
-3 + X6 + 3 + -4x2 = 0 + 3

Reorder the terms:
-3 + 3 + X6 + -4x2 = 0 + 3

Combine like terms: -3 + 3 = 0
0 + X6 + -4x2 = 0 + 3
X6 + -4x2 = 0 + 3

Combine like terms: 0 + 3 = 3
X6 + -4x2 = 3

Add '4x2' to each side of the equation.
X6 + -4x2 + 4x2 = 3 + 4x2

Combine like terms: -4x2 + 4x2 = 0
X6 + 0 = 3 + 4x2
X6 = 3 + 4x2

Simplifying
X6 = 3 + 4x2

Reorder the terms:
-3 + X6 + -4x2 = 3 + 4x2 + -3 + -4x2

Reorder the terms:
-3 + X6 + -4x2 = 3 + -3 + 4x2 + -4x2

Combine like terms: 3 + -3 = 0
-3 + X6 + -4x2 = 0 + 4x2 + -4x2
-3 + X6 + -4x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-3 + X6 + -4x2 = 0

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

Subproblem 1

Set the factor '(X3 + -4x)' equal to zero and attempt to solve: Simplifying X3 + -4x = 0 Solving X3 + -4x = 0 Move all terms containing X to the left, all other terms to the right. Add '4x' to each side of the equation. X3 + -4x + 4x = 0 + 4x Combine like terms: -4x + 4x = 0 X3 + 0 = 0 + 4x X3 = 0 + 4x Remove the zero: X3 = 4x Simplifying X3 = 4x 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 + x)' equal to zero and attempt to solve: Simplifying X3 + x = 0 Solving X3 + x = 0 Move all terms containing X to the left, all other terms to the right. Add '-1x' to each side of the equation. X3 + x + -1x = 0 + -1x Combine like terms: x + -1x = 0 X3 + 0 = 0 + -1x X3 = 0 + -1x Remove the zero: X3 = -1x Simplifying X3 = -1x 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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