2*sin(2x)*(sin^4x-cos^4x)=cosx

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Solution for 2*sin(2x)*(sin^4x-cos^4x)=cosx equation: 


Simplifying
2sin(2x)(sin4x + -1cos4x) = cosx

Remove parenthesis around (2x)
2ins * 2x(sin4x + -1cos4x) = cosx

Reorder the terms:
2ins * 2x(-1cos4x + in4sx) = cosx

Reorder the terms for easier multiplication:
2 * 2ins * x(-1cos4x + in4sx) = cosx

Multiply 2 * 2
4ins * x(-1cos4x + in4sx) = cosx

Multiply ins * x
4insx(-1cos4x + in4sx) = cosx
(-1cos4x * 4insx + in4sx * 4insx) = cosx
(-4cinos5x2 + 4i2n5s2x2) = cosx

Solving
-4cinos5x2 + 4i2n5s2x2 = 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.
-4cinos5x2 + -1cosx + 4i2n5s2x2 = cosx + -1cosx

Combine like terms: cosx + -1cosx = 0
-4cinos5x2 + -1cosx + 4i2n5s2x2 = 0

Add '-4i2n5s2x2' to each side of the equation.
-4cinos5x2 + -1cosx + 4i2n5s2x2 + -4i2n5s2x2 = 0 + -4i2n5s2x2

Combine like terms: 4i2n5s2x2 + -4i2n5s2x2 = 0
-4cinos5x2 + -1cosx + 0 = 0 + -4i2n5s2x2
-4cinos5x2 + -1cosx = 0 + -4i2n5s2x2
Remove the zero:
-4cinos5x2 + -1cosx = -4i2n5s2x2

Combine like terms: -4i2n5s2x2 + 4i2n5s2x2 = 0
-4cinos5x2 + -1cosx + 4i2n5s2x2 = 0

Factor out the Greatest Common Factor (GCF), 'sx'.
sx(-4cinos4x + -1co + 4i2n5sx) = 0


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

Simplifying
sx = 0

Solving
sx = 0

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

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

Simplifying
0 = -1sx

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 '(-4cinos4x + -1co + 4i2n5sx)' equal to zero and attempt to solve:

Simplifying
-4cinos4x + -1co + 4i2n5sx = 0

Solving
-4cinos4x + -1co + 4i2n5sx = 0

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

Add '-4i2n5sx' to each side of the equation.
-4cinos4x + -1co + 4i2n5sx + -4i2n5sx = 0 + -4i2n5sx

Combine like terms: 4i2n5sx + -4i2n5sx = 0
-4cinos4x + -1co + 0 = 0 + -4i2n5sx
-4cinos4x + -1co = 0 + -4i2n5sx
Remove the zero:
-4cinos4x + -1co = -4i2n5sx

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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