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

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


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

Remove parenthesis around (2x)
2cos2 * 2x = cos(2x) + 1

Reorder the terms for easier multiplication:
2 * 2cos2 * x = cos(2x) + 1

Multiply 2 * 2
4cos2 * x = cos(2x) + 1

Multiply cos2 * x
4cos2x = cos(2x) + 1

Remove parenthesis around (2x)
4cos2x = cos * 2x + 1

Reorder the terms for easier multiplication:
4cos2x = 2cos * x + 1

Multiply cos * x
4cos2x = 2cosx + 1

Reorder the terms:
4cos2x = 1 + 2cosx

Solving
4cos2x = 1 + 2cosx

Solving for variable 'c'.

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

Add '-2cosx' to each side of the equation.
-2cosx + 4cos2x = 1 + 2cosx + -2cosx

Combine like terms: 2cosx + -2cosx = 0
-2cosx + 4cos2x = 1 + 0
-2cosx + 4cos2x = 1

Reorder the terms:
-1 + -2cosx + 4cos2x = 1 + -1

Combine like terms: 1 + -1 = 0
-1 + -2cosx + 4cos2x = 0

The solution to this equation could not be determined.

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