2cos^3(x)-7cos^2(x)+3cos(x)=0

Solution for 2cos^3(x)-7cos^2(x)+3cos(x)=0 equation:

Simplifying
2cos3(x) + -7cos2(x) + 3cos(x) = 0

Multiply cos3 * x
2cos3x + -7cos2(x) + 3cos(x) = 0

Multiply cos2 * x
2cos3x + -7cos2x + 3cos(x) = 0

Multiply cos * x
2cos3x + -7cos2x + 3cosx = 0

Reorder the terms:
3cosx + -7cos2x + 2cos3x = 0

Solving
3cosx + -7cos2x + 2cos3x = 0

Solving for variable 'c'.

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

Factor out the Greatest Common Factor (GCF), 'cosx'.
cosx(3 + -7s + 2s2) = 0

Factor a trinomial.
cosx((1 + -2s)(3 + -1s)) = 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 '(1 + -2s)' equal to zero and attempt to solve:

Simplifying
1 + -2s = 0

Solving
1 + -2s = 0

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

Add '-1' to each side of the equation.
1 + -1 + -2s = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2s = 0 + -1
-2s = 0 + -1

Combine like terms: 0 + -1 = -1
-2s = -1

Add '2s' to each side of the equation.
-2s + 2s = -1 + 2s

Combine like terms: -2s + 2s = 0
0 = -1 + 2s

Simplifying
0 = -1 + 2s

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Subproblem 3
Set the factor '(3 + -1s)' equal to zero and attempt to solve:

Simplifying
3 + -1s = 0

Solving
3 + -1s = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1s = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1s = 0 + -3
-1s = 0 + -3

Combine like terms: 0 + -3 = -3
-1s = -3

Add 's' to each side of the equation.
-1s + s = -3 + s

Combine like terms: -1s + s = 0
0 = -3 + s

Simplifying
0 = -3 + s

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.