6x^4+29x^2+28=0

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Solution for 6x^4+29x^2+28=0 equation:


Simplifying
6x4 + 29x2 + 28 = 0

Reorder the terms:
28 + 29x2 + 6x4 = 0

Solving
28 + 29x2 + 6x4 = 0

Solving for variable 'x'.

Factor a trinomial.
(7 + 2x2)(4 + 3x2) = 0

Subproblem 1

Set the factor '(7 + 2x2)' equal to zero and attempt to solve: Simplifying 7 + 2x2 = 0 Solving 7 + 2x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 2x2 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 2x2 = 0 + -7 2x2 = 0 + -7 Combine like terms: 0 + -7 = -7 2x2 = -7 Divide each side by '2'. x2 = -3.5 Simplifying x2 = -3.5 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 '(4 + 3x2)' equal to zero and attempt to solve: Simplifying 4 + 3x2 = 0 Solving 4 + 3x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 3x2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3x2 = 0 + -4 3x2 = 0 + -4 Combine like terms: 0 + -4 = -4 3x2 = -4 Divide each side by '3'. x2 = -1.333333333 Simplifying x2 = -1.333333333 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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