C^4-17c^2+16=0

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Solution for C^4-17c^2+16=0 equation:


Simplifying
C4 + -17c2 + 16 = 0

Reorder the terms:
16 + C4 + -17c2 = 0

Solving
16 + C4 + -17c2 = 0

Solving for variable 'C'.

Move all terms containing C to the left, all other terms to the right.

Add '-16' to each side of the equation.
16 + C4 + -16 + -17c2 = 0 + -16

Reorder the terms:
16 + -16 + C4 + -17c2 = 0 + -16

Combine like terms: 16 + -16 = 0
0 + C4 + -17c2 = 0 + -16
C4 + -17c2 = 0 + -16

Combine like terms: 0 + -16 = -16
C4 + -17c2 = -16

Add '17c2' to each side of the equation.
C4 + -17c2 + 17c2 = -16 + 17c2

Combine like terms: -17c2 + 17c2 = 0
C4 + 0 = -16 + 17c2
C4 = -16 + 17c2

Simplifying
C4 = -16 + 17c2

Reorder the terms:
16 + C4 + -17c2 = -16 + 17c2 + 16 + -17c2

Reorder the terms:
16 + C4 + -17c2 = -16 + 16 + 17c2 + -17c2

Combine like terms: -16 + 16 = 0
16 + C4 + -17c2 = 0 + 17c2 + -17c2
16 + C4 + -17c2 = 17c2 + -17c2

Combine like terms: 17c2 + -17c2 = 0
16 + C4 + -17c2 = 0

Factor a trinomial.
(C2 + -1c)(C2 + 17c) = 0

Subproblem 1

Set the factor '(C2 + -1c)' equal to zero and attempt to solve: Simplifying C2 + -1c = 0 Solving C2 + -1c = 0 Move all terms containing C to the left, all other terms to the right. Add 'c' to each side of the equation. C2 + -1c + c = 0 + c Combine like terms: -1c + c = 0 C2 + 0 = 0 + c C2 = 0 + c Remove the zero: C2 = c Simplifying C2 = c 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 '(C2 + 17c)' equal to zero and attempt to solve: Simplifying C2 + 17c = 0 Solving C2 + 17c = 0 Move all terms containing C to the left, all other terms to the right. Add '-17c' to each side of the equation. C2 + 17c + -17c = 0 + -17c Combine like terms: 17c + -17c = 0 C2 + 0 = 0 + -17c C2 = 0 + -17c Remove the zero: C2 = -17c Simplifying C2 = -17c 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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