0=-cos^2x-cosx+1

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Solution for 0=-cos^2x-cosx+1 equation:


Simplifying
0 = -1cos2x + -1cosx + 1

Reorder the terms:
0 = 1 + -1cosx + -1cos2x

Solving
0 = 1 + -1cosx + -1cos2x

Solving for variable 'c'.

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

Add 'cosx' to each side of the equation.
0 + cosx = 1 + -1cosx + cosx + -1cos2x
Remove the zero:
cosx = 1 + -1cosx + cosx + -1cos2x

Combine like terms: -1cosx + cosx = 0
cosx = 1 + 0 + -1cos2x
cosx = 1 + -1cos2x

Add 'cos2x' to each side of the equation.
cosx + cos2x = 1 + -1cos2x + cos2x

Combine like terms: -1cos2x + cos2x = 0
cosx + cos2x = 1 + 0
cosx + cos2x = 1

Reorder the terms:
-1 + cosx + cos2x = 1 + -1

Combine like terms: 1 + -1 = 0
-1 + cosx + cos2x = 0

The solution to this equation could not be determined.

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