4cos^2x+1=-4cosx

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Solution for 4cos^2x+1=-4cosx equation:


Simplifying
4cos2x + 1 = -4cosx

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

Solving
1 + 4cos2x = -4cosx

Solving for variable 'c'.

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

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

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

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

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

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

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

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

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

The solution to this equation could not be determined.

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