6cos(2x)=6cos^2(x)-5

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Solution for 6cos(2x)=6cos^2(x)-5 equation:


Simplifying
6cos(2x) = 6cos2(x) + -5

Remove parenthesis around (2x)
6cos * 2x = 6cos2(x) + -5

Reorder the terms for easier multiplication:
6 * 2cos * x = 6cos2(x) + -5

Multiply 6 * 2
12cos * x = 6cos2(x) + -5

Multiply cos * x
12cosx = 6cos2(x) + -5

Multiply cos2 * x
12cosx = 6cos2x + -5

Reorder the terms:
12cosx = -5 + 6cos2x

Solving
12cosx = -5 + 6cos2x

Solving for variable 'c'.

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

Add '-6cos2x' to each side of the equation.
12cosx + -6cos2x = -5 + 6cos2x + -6cos2x

Combine like terms: 6cos2x + -6cos2x = 0
12cosx + -6cos2x = -5 + 0
12cosx + -6cos2x = -5

Reorder the terms:
5 + 12cosx + -6cos2x = -5 + 5

Combine like terms: -5 + 5 = 0
5 + 12cosx + -6cos2x = 0

The solution to this equation could not be determined.

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