Cos^2x-4cosx+1=k

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Solution for Cos^2x-4cosx+1=k equation:


Simplifying
Cos2x + -4cosx + 1 = k

Reorder the terms:
1 + -4cosx + os2xC = k

Solving
1 + -4cosx + os2xC = k

Solving for variable 'c'.

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

Add '-1' to each side of the equation.
1 + -4cosx + -1 + os2xC = -1 + k

Reorder the terms:
1 + -1 + -4cosx + os2xC = -1 + k

Combine like terms: 1 + -1 = 0
0 + -4cosx + os2xC = -1 + k
-4cosx + os2xC = -1 + k

Add '-1os2xC' to each side of the equation.
-4cosx + os2xC + -1os2xC = -1 + k + -1os2xC

Combine like terms: os2xC + -1os2xC = 0
-4cosx + 0 = -1 + k + -1os2xC
-4cosx = -1 + k + -1os2xC

Divide each side by '-4osx'.
c = 0.25o-1s-1x-1 + -0.25ko-1s-1x-1 + 0.25sC

Simplifying
c = 0.25o-1s-1x-1 + -0.25ko-1s-1x-1 + 0.25sC

Reorder the terms:
c = -0.25ko-1s-1x-1 + 0.25o-1s-1x-1 + 0.25sC

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