2cos^2x+1=3cosx

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Solution for 2cos^2x+1=3cosx equation:


Simplifying
2cos2x + 1 = 3cosx

Reorder the terms:
1 + 2cos2x = 3cosx

Solving
1 + 2cos2x = 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 + -3cosx + 2cos2x = 3cosx + -3cosx

Combine like terms: 3cosx + -3cosx = 0
1 + -3cosx + 2cos2x = 0

Add '-1' to each side of the equation.
1 + -3cosx + -1 + 2cos2x = 0 + -1

Reorder the terms:
1 + -1 + -3cosx + 2cos2x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -3cosx + 2cos2x = 0 + -1
-3cosx + 2cos2x = 0 + -1

Combine like terms: 0 + -1 = -1
-3cosx + 2cos2x = -1

Reorder the terms:
1 + -3cosx + 2cos2x = -1 + 1

Combine like terms: -1 + 1 = 0
1 + -3cosx + 2cos2x = 0

The solution to this equation could not be determined.

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