2cos^3x-2cosx-sin^2x=0

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Solution for 2cos^3x-2cosx-sin^2x=0 equation: 


Simplifying
2cos3x + -2cosx + -1sin2x = 0

Reorder the terms:
-2cosx + 2cos3x + -1in2sx = 0

Solving
-2cosx + 2cos3x + -1in2sx = 0

Solving for variable 'c'.

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

Add 'in2sx' to each side of the equation.
-2cosx + 2cos3x + -1in2sx + in2sx = 0 + in2sx

Combine like terms: -1in2sx + in2sx = 0
-2cosx + 2cos3x + 0 = 0 + in2sx
-2cosx + 2cos3x = 0 + in2sx
Remove the zero:
-2cosx + 2cos3x = in2sx

Combine like terms: in2sx + -1in2sx = 0
-2cosx + 2cos3x + -1in2sx = 0

Factor out the Greatest Common Factor (GCF), 'sx'.
sx(-2co + 2cos2 + -1in2) = 0


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

Simplifying
sx = 0

Solving
sx = 0

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

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

Simplifying
0 = -1sx

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 '(-2co + 2cos2 + -1in2)' equal to zero and attempt to solve:

Simplifying
-2co + 2cos2 + -1in2 = 0

Solving
-2co + 2cos2 + -1in2 = 0

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

Add 'in2' to each side of the equation.
-2co + 2cos2 + -1in2 + in2 = 0 + in2

Combine like terms: -1in2 + in2 = 0
-2co + 2cos2 + 0 = 0 + in2
-2co + 2cos2 = 0 + in2
Remove the zero:
-2co + 2cos2 = in2

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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