2cos^2(x)=8cos(2x)-1

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Solution for 2cos^2(x)=8cos(2x)-1 equation:


Simplifying
2cos2(x) = 8cos(2x) + -1

Multiply cos2 * x
2cos2x = 8cos(2x) + -1

Remove parenthesis around (2x)
2cos2x = 8cos * 2x + -1

Reorder the terms for easier multiplication:
2cos2x = 8 * 2cos * x + -1

Multiply 8 * 2
2cos2x = 16cos * x + -1

Multiply cos * x
2cos2x = 16cosx + -1

Reorder the terms:
2cos2x = -1 + 16cosx

Solving
2cos2x = -1 + 16cosx

Solving for variable 'c'.

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

Add '-16cosx' to each side of the equation.
-16cosx + 2cos2x = -1 + 16cosx + -16cosx

Combine like terms: 16cosx + -16cosx = 0
-16cosx + 2cos2x = -1 + 0
-16cosx + 2cos2x = -1

Reorder the terms:
1 + -16cosx + 2cos2x = -1 + 1

Combine like terms: -1 + 1 = 0
1 + -16cosx + 2cos2x = 0

The solution to this equation could not be determined.

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