2cos^3x+sin^3x-11sin^2x-3cosx=0

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Solution for 2cos^3x+sin^3x-11sin^2x-3cosx=0 equation: 


Simplifying
2cos3x + sin3x + -11sin2x + -3cosx = 0

Reorder the terms:
-3cosx + 2cos3x + -11in2sx + in3sx = 0

Solving
-3cosx + 2cos3x + -11in2sx + in3sx = 0

Solving for variable 'c'.

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

Add '11in2sx' to each side of the equation.
-3cosx + 2cos3x + -11in2sx + 11in2sx + in3sx = 0 + 11in2sx

Combine like terms: -11in2sx + 11in2sx = 0
-3cosx + 2cos3x + 0 + in3sx = 0 + 11in2sx
-3cosx + 2cos3x + in3sx = 0 + 11in2sx
Remove the zero:
-3cosx + 2cos3x + in3sx = 11in2sx

Add '-1in3sx' to each side of the equation.
-3cosx + 2cos3x + in3sx + -1in3sx = 11in2sx + -1in3sx

Combine like terms: in3sx + -1in3sx = 0
-3cosx + 2cos3x + 0 = 11in2sx + -1in3sx
-3cosx + 2cos3x = 11in2sx + -1in3sx

Reorder the terms:
-3cosx + 2cos3x + -11in2sx + in3sx = 11in2sx + -11in2sx + -1in3sx + in3sx

Combine like terms: 11in2sx + -11in2sx = 0
-3cosx + 2cos3x + -11in2sx + in3sx = 0 + -1in3sx + in3sx
-3cosx + 2cos3x + -11in2sx + in3sx = -1in3sx + in3sx

Combine like terms: -1in3sx + in3sx = 0
-3cosx + 2cos3x + -11in2sx + in3sx = 0

Factor out the Greatest Common Factor (GCF), 'sx'.
sx(-3co + 2cos2 + -11in2 + in3) = 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 '(-3co + 2cos2 + -11in2 + in3)' equal to zero and attempt to solve:

Simplifying
-3co + 2cos2 + -11in2 + in3 = 0

Solving
-3co + 2cos2 + -11in2 + in3 = 0

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

Add '11in2' to each side of the equation.
-3co + 2cos2 + -11in2 + 11in2 + in3 = 0 + 11in2

Combine like terms: -11in2 + 11in2 = 0
-3co + 2cos2 + 0 + in3 = 0 + 11in2
-3co + 2cos2 + in3 = 0 + 11in2
Remove the zero:
-3co + 2cos2 + in3 = 11in2

Add '-1in3' to each side of the equation.
-3co + 2cos2 + in3 + -1in3 = 11in2 + -1in3

Combine like terms: in3 + -1in3 = 0
-3co + 2cos2 + 0 = 11in2 + -1in3
-3co + 2cos2 = 11in2 + -1in3

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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