2X^4+4X^2+2=0

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Solution for 2X^4+4X^2+2=0 equation:


Simplifying
2X4 + 4X2 + 2 = 0

Reorder the terms:
2 + 4X2 + 2X4 = 0

Solving
2 + 4X2 + 2X4 = 0

Solving for variable 'X'.

Factor out the Greatest Common Factor (GCF), '2'.
2(1 + 2X2 + X4) = 0

Factor a trinomial.
2((1 + X2)(1 + X2)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(1 + X2)' equal to zero and attempt to solve: Simplifying 1 + X2 = 0 Solving 1 + X2 = 0 Move all terms containing X to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + X2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + X2 = 0 + -1 X2 = 0 + -1 Combine like terms: 0 + -1 = -1 X2 = -1 Simplifying X2 = -1 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 '(1 + X2)' equal to zero and attempt to solve: Simplifying 1 + X2 = 0 Solving 1 + X2 = 0 Move all terms containing X to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + X2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + X2 = 0 + -1 X2 = 0 + -1 Combine like terms: 0 + -1 = -1 X2 = -1 Simplifying X2 = -1 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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