1-4cos(x)=-2cos^2(x)

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Solution for 1-4cos(x)=-2cos^2(x) equation:


Simplifying
1 + -4cos(x) = -2cos2(x)

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

Multiply cos2 * x
1 + -4cosx = -2cos2x

Solving
1 + -4cosx = -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.
1 + -4cosx + 2cos2x = -2cos2x + 2cos2x

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

Add '-1' to each side of the equation.
1 + -4cosx + -1 + 2cos2x = 0 + -1

Reorder the terms:
1 + -1 + -4cosx + 2cos2x = 0 + -1

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

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

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

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

The solution to this equation could not be determined.

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