(x^4)+(41x^2)+400=0

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Solution for (x^4)+(41x^2)+400=0 equation:


Simplifying
(x4) + (41x2) + 400 = 0
x4 + (41x2) + 400 = 0

Reorder the terms:
400 + (41x2) + x4 = 0

Solving
400 + (41x2) + x4 = 0

Solving for variable 'x'.

Factor a trinomial.
(25 + x2)(16 + x2) = 0

Subproblem 1

Set the factor '(25 + x2)' equal to zero and attempt to solve: Simplifying 25 + x2 = 0 Solving 25 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + x2 = 0 + -25 Combine like terms: 25 + -25 = 0 0 + x2 = 0 + -25 x2 = 0 + -25 Combine like terms: 0 + -25 = -25 x2 = -25 Simplifying x2 = -25 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 '(16 + x2)' equal to zero and attempt to solve: Simplifying 16 + x2 = 0 Solving 16 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + x2 = 0 + -16 Combine like terms: 16 + -16 = 0 0 + x2 = 0 + -16 x2 = 0 + -16 Combine like terms: 0 + -16 = -16 x2 = -16 Simplifying x2 = -16 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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