3cos^2-6cosx+3=0

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Solution for 3cos^2-6cosx+3=0 equation:


Simplifying
3cos2 + -6cosx + 3 = 0

Reorder the terms:
3 + -6cosx + 3cos2 = 0

Solving
3 + -6cosx + 3cos2 = 0

Solving for variable 'c'.

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

Add '-3' to each side of the equation.
3 + -6cosx + -3 + 3cos2 = 0 + -3

Reorder the terms:
3 + -3 + -6cosx + 3cos2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -6cosx + 3cos2 = 0 + -3
-6cosx + 3cos2 = 0 + -3

Combine like terms: 0 + -3 = -3
-6cosx + 3cos2 = -3

Reorder the terms:
3 + -6cosx + 3cos2 = -3 + 3

Combine like terms: -3 + 3 = 0
3 + -6cosx + 3cos2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(1 + -2cosx + cos2) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(1 + -2cosx + cos2)' equal to zero and attempt to solve: Simplifying 1 + -2cosx + cos2 = 0 Solving 1 + -2cosx + cos2 = 0 Move all terms containing c to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -2cosx + -1 + cos2 = 0 + -1 Reorder the terms: 1 + -1 + -2cosx + cos2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2cosx + cos2 = 0 + -1 -2cosx + cos2 = 0 + -1 Combine like terms: 0 + -1 = -1 -2cosx + cos2 = -1 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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