6x^4+19x^2+8=0

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Solution for 6x^4+19x^2+8=0 equation:


Simplifying
6x4 + 19x2 + 8 = 0

Reorder the terms:
8 + 19x2 + 6x4 = 0

Solving
8 + 19x2 + 6x4 = 0

Solving for variable 'x'.

Factor a trinomial.
(8 + 3x2)(1 + 2x2) = 0

Subproblem 1

Set the factor '(8 + 3x2)' equal to zero and attempt to solve: Simplifying 8 + 3x2 = 0 Solving 8 + 3x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 3x2 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 3x2 = 0 + -8 3x2 = 0 + -8 Combine like terms: 0 + -8 = -8 3x2 = -8 Divide each side by '3'. x2 = -2.666666667 Simplifying x2 = -2.666666667 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 + 2x2)' equal to zero and attempt to solve: Simplifying 1 + 2x2 = 0 Solving 1 + 2x2 = 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 + 2x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2x2 = 0 + -1 2x2 = 0 + -1 Combine like terms: 0 + -1 = -1 2x2 = -1 Divide each side by '2'. x2 = -0.5 Simplifying x2 = -0.5 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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