4cos^2-sin^22x=4cos^4x

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Solution for 4cos^2-sin^22x=4cos^4x equation: 


Simplifying
4cos2 + -1sin22x = 4cos4x

Solving
4cos2 + -1in22sx = 4cos4x

Solving for variable 'c'.

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

Add '-4cos4x' to each side of the equation.
4cos2 + -4cos4x + -1in22sx = 4cos4x + -4cos4x

Combine like terms: 4cos4x + -4cos4x = 0
4cos2 + -4cos4x + -1in22sx = 0

Add 'in22sx' to each side of the equation.
4cos2 + -4cos4x + -1in22sx + in22sx = 0 + in22sx

Combine like terms: -1in22sx + in22sx = 0
4cos2 + -4cos4x + 0 = 0 + in22sx
4cos2 + -4cos4x = 0 + in22sx
Remove the zero:
4cos2 + -4cos4x = in22sx

Combine like terms: in22sx + -1in22sx = 0
4cos2 + -4cos4x + -1in22sx = 0

Factor out the Greatest Common Factor (GCF), 's'.
s(4cos + -4cos3x + -1in22x) = 0


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

Simplifying
s = 0

Solving
s = 0

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

Add '-1s' to each side of the equation.
s + -1s = 0 + -1s
Remove the zero:
0 = -1s

Simplifying
0 = -1s

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 '(4cos + -4cos3x + -1in22x)' equal to zero and attempt to solve:

Simplifying
4cos + -4cos3x + -1in22x = 0

Solving
4cos + -4cos3x + -1in22x = 0

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

Add 'in22x' to each side of the equation.
4cos + -4cos3x + -1in22x + in22x = 0 + in22x

Combine like terms: -1in22x + in22x = 0
4cos + -4cos3x + 0 = 0 + in22x
4cos + -4cos3x = 0 + in22x
Remove the zero:
4cos + -4cos3x = in22x

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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