2cos^2(0.5x)-2=2cosx

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Solution for 2cos^2(0.5x)-2=2cosx equation:


Simplifying
2cos2(0.5x) + -2 = 2cosx

Remove parenthesis around (0.5x)
2cos2 * 0.5x + -2 = 2cosx

Reorder the terms for easier multiplication:
2 * 0.5cos2 * x + -2 = 2cosx

Multiply 2 * 0.5
1cos2 * x + -2 = 2cosx

Multiply cos2 * x
1cos2x + -2 = 2cosx

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

Solving
-2 + 1cos2x = 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.
-2 + -2cosx + 1cos2x = 2cosx + -2cosx

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

Add '2' to each side of the equation.
-2 + -2cosx + 2 + 1cos2x = 0 + 2

Reorder the terms:
-2 + 2 + -2cosx + 1cos2x = 0 + 2

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

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

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

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

The solution to this equation could not be determined.

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