2cos(2x)-x-1=0

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Solution for 2cos(2x)-x-1=0 equation:


Simplifying
2cos(2x) + -1x + -1 = 0

Remove parenthesis around (2x)
2cos * 2x + -1x + -1 = 0

Reorder the terms for easier multiplication:
2 * 2cos * x + -1x + -1 = 0

Multiply 2 * 2
4cos * x + -1x + -1 = 0

Multiply cos * x
4cosx + -1x + -1 = 0

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

Solving
-1 + 4cosx + -1x = 0

Solving for variable 'c'.

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

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

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

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

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

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

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

Divide each side by '4osx'.
c = 0.25o-1s-1x-1 + 0.25o-1s-1

Simplifying
c = 0.25o-1s-1x-1 + 0.25o-1s-1

Reorder the terms:
c = 0.25o-1s-1 + 0.25o-1s-1x-1

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