2cos^3x+sqrt(3)cos^2x+2cosx+sqrt(3)=0

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Solution for 2cos^3x+sqrt(3)cos^2x+2cosx+sqrt(3)=0 equation: 


Simplifying
2cos3x + sqrt(3) * cos2x + 2cosx + sqrt(3) = 0

Reorder the terms for easier multiplication:
2cos3x + 3qrst * cos2x + 2cosx + sqrt(3) = 0

Multiply qrst * cos2x
2cos3x + 3coqrs3tx + 2cosx + sqrt(3) = 0

Reorder the terms for easier multiplication:
2cos3x + 3coqrs3tx + 2cosx + 3qrst = 0

Reorder the terms:
3coqrs3tx + 2cosx + 2cos3x + 3qrst = 0

Solving
3coqrs3tx + 2cosx + 2cos3x + 3qrst = 0

Solving for variable 'c'.

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

Add '-3qrst' to each side of the equation.
3coqrs3tx + 2cosx + 2cos3x + 3qrst + -3qrst = 0 + -3qrst

Combine like terms: 3qrst + -3qrst = 0
3coqrs3tx + 2cosx + 2cos3x + 0 = 0 + -3qrst
3coqrs3tx + 2cosx + 2cos3x = 0 + -3qrst
Remove the zero:
3coqrs3tx + 2cosx + 2cos3x = -3qrst

Combine like terms: -3qrst + 3qrst = 0
3coqrs3tx + 2cosx + 2cos3x + 3qrst = 0

Factor out the Greatest Common Factor (GCF), 's'.
s(3coqrs2tx + 2cox + 2cos2x + 3qrt) = 0


Subproblem 1
Set the factor 's' equal to zero and attempt to solve:

Simplifying
s = 0

Solving
s = 0

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

Add '-1s' to each side of the equation.
s + -1s = 0 + -1s
Remove the zero:
0 = -1s

Simplifying
0 = -1s

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(3coqrs2tx + 2cox + 2cos2x + 3qrt)' equal to zero and attempt to solve:

Simplifying
3coqrs2tx + 2cox + 2cos2x + 3qrt = 0

Reorder the terms:
3coqrs2tx + 2cos2x + 2cox + 3qrt = 0

Solving
3coqrs2tx + 2cos2x + 2cox + 3qrt = 0

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

Add '-3qrt' to each side of the equation.
3coqrs2tx + 2cos2x + 2cox + 3qrt + -3qrt = 0 + -3qrt

Combine like terms: 3qrt + -3qrt = 0
3coqrs2tx + 2cos2x + 2cox + 0 = 0 + -3qrt
3coqrs2tx + 2cos2x + 2cox = 0 + -3qrt
Remove the zero:
3coqrs2tx + 2cos2x + 2cox = -3qrt

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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