5x^4+22x^2+21=0

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Solution for 5x^4+22x^2+21=0 equation:


Simplifying
5x4 + 22x2 + 21 = 0

Reorder the terms:
21 + 22x2 + 5x4 = 0

Solving
21 + 22x2 + 5x4 = 0

Solving for variable 'x'.

Factor a trinomial.
(3 + x2)(7 + 5x2) = 0

Subproblem 1

Set the factor '(3 + x2)' equal to zero and attempt to solve: Simplifying 3 + x2 = 0 Solving 3 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x2 = 0 + -3 x2 = 0 + -3 Combine like terms: 0 + -3 = -3 x2 = -3 Simplifying x2 = -3 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 '(7 + 5x2)' equal to zero and attempt to solve: Simplifying 7 + 5x2 = 0 Solving 7 + 5x2 = 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 + 5x2 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 5x2 = 0 + -7 5x2 = 0 + -7 Combine like terms: 0 + -7 = -7 5x2 = -7 Divide each side by '5'. x2 = -1.4 Simplifying x2 = -1.4 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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