cosx+cos^2(x)+1=1

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Solution for cosx+cos^2(x)+1=1 equation: 


Simplifying
cosx + cos2(x) + 1 = 1

Multiply cos2 * x
cosx + cos2x + 1 = 1

Reorder the terms:
1 + cosx + cos2x = 1

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

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

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

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

Solving
cosx + cos2x = 0

Solving for variable 'c'.

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

Factor out the Greatest Common Factor (GCF), 'cosx'.
cosx(1 + s) = 0


Subproblem 1
Set the factor 'cosx' equal to zero and attempt to solve:

Simplifying
cosx = 0

Solving
cosx = 0

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

Simplifying
cosx = 0

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 + s)' equal to zero and attempt to solve:

Simplifying
1 + s = 0

Solving
1 + s = 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 + s = 0 + -1

Combine like terms: 1 + -1 = 0
0 + s = 0 + -1
s = 0 + -1

Combine like terms: 0 + -1 = -1
s = -1

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

Combine like terms: s + -1s = 0
0 = -1 + -1s

Simplifying
0 = -1 + -1s

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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