6*cos^2(x)+cos(2x)=1

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Solution for 6*cos^2(x)+cos(2x)=1 equation: 


Simplifying
6cos2(x) + cos(2x) = 1

Multiply cos2 * x
6cos2x + cos(2x) = 1

Remove parenthesis around (2x)
6cos2x + cos * 2x = 1

Reorder the terms for easier multiplication:
6cos2x + 2cos * x = 1

Multiply cos * x
6cos2x + 2cosx = 1

Reorder the terms:
2cosx + 6cos2x = 1

Solving
2cosx + 6cos2x = 1

Solving for variable 'c'.

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

Reorder the terms:
-1 + 2cosx + 6cos2x = 1 + -1

Combine like terms: 1 + -1 = 0
-1 + 2cosx + 6cos2x = 0

The solution to this equation could not be determined.

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