2cos(2x)+1=3cos(x)

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Solution for 2cos(2x)+1=3cos(x) equation:


Simplifying
2cos(2x) + 1 = 3cos(x)

Remove parenthesis around (2x)
2cos * 2x + 1 = 3cos(x)

Reorder the terms for easier multiplication:
2 * 2cos * x + 1 = 3cos(x)

Multiply 2 * 2
4cos * x + 1 = 3cos(x)

Multiply cos * x
4cosx + 1 = 3cos(x)

Reorder the terms:
1 + 4cosx = 3cos(x)

Multiply cos * x
1 + 4cosx = 3cosx

Solving
1 + 4cosx = 3cosx

Solving for variable 'c'.

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

Add '-3cosx' to each side of the equation.
1 + 4cosx + -3cosx = 3cosx + -3cosx

Combine like terms: 4cosx + -3cosx = 1cosx
1 + 1cosx = 3cosx + -3cosx

Combine like terms: 3cosx + -3cosx = 0
1 + 1cosx = 0

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

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

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

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

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

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