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

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


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

Remove parenthesis around (4x)
cos * 4x + -1 = 2sin(x) * cos(x)

Reorder the terms for easier multiplication:
4cos * x + -1 = 2sin(x) * cos(x)

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

Reorder the terms:
-1 + 4cosx = 2sin(x) * cos(x)

Multiply ins * x
-1 + 4cosx = 2insx * cos * x

Multiply insx * cos
-1 + 4cosx = 2cinos2x * x

Multiply cinos2x * x
-1 + 4cosx = 2cinos2x2

Solving
-1 + 4cosx = 2cinos2x2

Solving for variable 'c'.

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

Add '-2cinos2x2' to each side of the equation.
-1 + -2cinos2x2 + 4cosx = 2cinos2x2 + -2cinos2x2

Combine like terms: 2cinos2x2 + -2cinos2x2 = 0
-1 + -2cinos2x2 + 4cosx = 0

Add '1' to each side of the equation.
-1 + -2cinos2x2 + 1 + 4cosx = 0 + 1

Reorder the terms:
-1 + 1 + -2cinos2x2 + 4cosx = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -2cinos2x2 + 4cosx = 0 + 1
-2cinos2x2 + 4cosx = 0 + 1

Combine like terms: 0 + 1 = 1
-2cinos2x2 + 4cosx = 1

Reorder the terms:
-1 + -2cinos2x2 + 4cosx = 1 + -1

Combine like terms: 1 + -1 = 0
-1 + -2cinos2x2 + 4cosx = 0

The solution to this equation could not be determined.

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