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

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


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

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

Remove parenthesis around (4cosx)
1 + -1 * 4cosx = (-2) * cos2(x)

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