cos^3x+sin^2x(cosx)=cosx

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


Simplifying
cos3x + sin2x(cosx) = cosx

Multiply in2sx * cosx
cos3x + cin2os2x2 = cosx

Reorder the terms:
cin2os2x2 + cos3x = cosx

Solving
cin2os2x2 + cos3x = cosx

Solving for variable 'c'.

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

Add '-1cosx' to each side of the equation.
cin2os2x2 + -1cosx + cos3x = cosx + -1cosx

Combine like terms: cosx + -1cosx = 0
cin2os2x2 + -1cosx + cos3x = 0

Factor out the Greatest Common Factor (GCF), 'cosx'.
cosx(in2sx + -1 + s2) = 0


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

Simplifying
cosx = 0

Solving
cosx = 0

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

Simplifying
cosx = 0

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 '(in2sx + -1 + s2)' equal to zero and attempt to solve:

Simplifying
in2sx + -1 + s2 = 0

Reorder the terms:
-1 + in2sx + s2 = 0

Solving
-1 + in2sx + s2 = 0

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

Add '1' to each side of the equation.
-1 + in2sx + 1 + s2 = 0 + 1

Reorder the terms:
-1 + 1 + in2sx + s2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + in2sx + s2 = 0 + 1
in2sx + s2 = 0 + 1

Combine like terms: 0 + 1 = 1
in2sx + s2 = 1

Add '-1in2sx' to each side of the equation.
in2sx + -1in2sx + s2 = 1 + -1in2sx

Combine like terms: in2sx + -1in2sx = 0
0 + s2 = 1 + -1in2sx
s2 = 1 + -1in2sx

Add '-1s2' to each side of the equation.
s2 + -1s2 = 1 + -1in2sx + -1s2

Combine like terms: s2 + -1s2 = 0
0 = 1 + -1in2sx + -1s2

Simplifying
0 = 1 + -1in2sx + -1s2

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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