4cos^2(x)+cos(x-5)=0

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Solution for 4cos^2(x)+cos(x-5)=0 equation: 


Simplifying
4cos2(x) + cos(x + -5) = 0

Multiply cos2 * x
4cos2x + cos(x + -5) = 0

Reorder the terms:
4cos2x + cos(-5 + x) = 0
4cos2x + (-5 * cos + x * cos) = 0
4cos2x + (-5cos + cosx) = 0

Reorder the terms:
-5cos + cosx + 4cos2x = 0

Solving
-5cos + cosx + 4cos2x = 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), 'cos'.
cos(-5 + x + 4sx) = 0


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

Simplifying
cos = 0

Solving
cos = 0

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

Simplifying
cos = 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 + x + 4sx)' equal to zero and attempt to solve:

Simplifying
-5 + x + 4sx = 0

Reorder the terms:
-5 + 4sx + x = 0

Solving
-5 + 4sx + x = 0

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

Add '5' to each side of the equation.
-5 + 4sx + 5 + x = 0 + 5

Reorder the terms:
-5 + 5 + 4sx + x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 4sx + x = 0 + 5
4sx + x = 0 + 5

Combine like terms: 0 + 5 = 5
4sx + x = 5

Add '-4sx' to each side of the equation.
4sx + -4sx + x = 5 + -4sx

Combine like terms: 4sx + -4sx = 0
0 + x = 5 + -4sx
x = 5 + -4sx

Add '-1x' to each side of the equation.
x + -1x = 5 + -4sx + -1x

Combine like terms: x + -1x = 0
0 = 5 + -4sx + -1x

Simplifying
0 = 5 + -4sx + -1x

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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