3+3cos(x)=2(1-cos^2(x))

Solution for 3+3cos(x)=2(1-cos^2(x)) equation:

Simplifying
3 + 3cos(x) = 2(1 + -1cos2(x))

Multiply cos * x
3 + 3cosx = 2(1 + -1cos2(x))

Multiply cos2 * x
3 + 3cosx = 2(1 + -1cos2x)
3 + 3cosx = (1 * 2 + -1cos2x * 2)
3 + 3cosx = (2 + -2cos2x)

Solving
3 + 3cosx = 2 + -2cos2x

Solving for variable 'c'.

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

Add '2cos2x' to each side of the equation.
3 + 3cosx + 2cos2x = 2 + -2cos2x + 2cos2x

Combine like terms: -2cos2x + 2cos2x = 0
3 + 3cosx + 2cos2x = 2 + 0
3 + 3cosx + 2cos2x = 2

Add '-3' to each side of the equation.
3 + 3cosx + -3 + 2cos2x = 2 + -3

Reorder the terms:
3 + -3 + 3cosx + 2cos2x = 2 + -3

Combine like terms: 3 + -3 = 0
0 + 3cosx + 2cos2x = 2 + -3
3cosx + 2cos2x = 2 + -3

Combine like terms: 2 + -3 = -1
3cosx + 2cos2x = -1

Reorder the terms:
1 + 3cosx + 2cos2x = -1 + 1

Combine like terms: -1 + 1 = 0
1 + 3cosx + 2cos2x = 0

The solution to this equation could not be determined.