cos(x)*(2cos(x)-5)=0

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Solution for cos(x)*(2cos(x)-5)=0 equation: 


Simplifying
cos(x)(2cos(x) + -5) = 0

Multiply cos * x
cos * x(2cosx + -5) = 0

Reorder the terms:
cos * x(-5 + 2cosx) = 0

Multiply cos * x
cosx(-5 + 2cosx) = 0
(-5 * cosx + 2cosx * cosx) = 0
(-5cosx + 2c2o2s2x2) = 0

Solving
-5cosx + 2c2o2s2x2 = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), 'cosx'.
cosx(-5 + 2cosx) = 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 '(-5 + 2cosx)' equal to zero and attempt to solve:

Simplifying
-5 + 2cosx = 0

Solving
-5 + 2cosx = 0

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

Add '5' to each side of the equation.
-5 + 5 + 2cosx = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 2cosx = 0 + 5
2cosx = 0 + 5

Combine like terms: 0 + 5 = 5
2cosx = 5

Divide each side by '2osx'.
c = 2.5o-1s-1x-1

Simplifying
c = 2.5o-1s-1x-1
Solution
c = {2.5o-1s-1x-1}

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