c^4+41c^2+40=0

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Solution for c^4+41c^2+40=0 equation:


Simplifying
c4 + 41c2 + 40 = 0

Reorder the terms:
40 + 41c2 + c4 = 0

Solving
40 + 41c2 + c4 = 0

Solving for variable 'c'.

Factor a trinomial.
(40 + c2)(1 + c2) = 0

Subproblem 1

Set the factor '(40 + c2)' equal to zero and attempt to solve: Simplifying 40 + c2 = 0 Solving 40 + c2 = 0 Move all terms containing c to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + c2 = 0 + -40 Combine like terms: 40 + -40 = 0 0 + c2 = 0 + -40 c2 = 0 + -40 Combine like terms: 0 + -40 = -40 c2 = -40 Simplifying c2 = -40 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 + c2)' equal to zero and attempt to solve: Simplifying 1 + c2 = 0 Solving 1 + c2 = 0 Move all terms containing c to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + c2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + c2 = 0 + -1 c2 = 0 + -1 Combine like terms: 0 + -1 = -1 c2 = -1 Simplifying c2 = -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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