-Sinx^4+cosx^4=cos*2x

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Solution for -Sinx^4+cosx^4=cos*2x equation:


Simplifying
-1Sinx4 + cosx4 = cos * 2x

Reorder the terms:
cosx4 + -1inx4S = cos * 2x

Reorder the terms for easier multiplication:
cosx4 + -1inx4S = 2cos * x

Multiply cos * x
cosx4 + -1inx4S = 2cosx

Solving
cosx4 + -1inx4S = 2cosx

Solving for variable 'c'.

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

Add '-2cosx' to each side of the equation.
cosx4 + -2cosx + -1inx4S = 2cosx + -2cosx

Reorder the terms:
-2cosx + cosx4 + -1inx4S = 2cosx + -2cosx

Combine like terms: 2cosx + -2cosx = 0
-2cosx + cosx4 + -1inx4S = 0

Add 'inx4S' to each side of the equation.
-2cosx + cosx4 + -1inx4S + inx4S = 0 + inx4S

Combine like terms: -1inx4S + inx4S = 0
-2cosx + cosx4 + 0 = 0 + inx4S
-2cosx + cosx4 = 0 + inx4S
Remove the zero:
-2cosx + cosx4 = inx4S

Combine like terms: inx4S + -1inx4S = 0
-2cosx + cosx4 + -1inx4S = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-2cos + cosx3 + -1inx3S) = 0

Subproblem 1

Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing c to the left, all other terms to the right. Add '-1x' to each side of the equation. x + -1x = 0 + -1x Remove the zero: 0 = -1x Simplifying 0 = -1x 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 '(-2cos + cosx3 + -1inx3S)' equal to zero and attempt to solve: Simplifying -2cos + cosx3 + -1inx3S = 0 Solving -2cos + cosx3 + -1inx3S = 0 Move all terms containing c to the left, all other terms to the right. Add 'inx3S' to each side of the equation. -2cos + cosx3 + -1inx3S + inx3S = 0 + inx3S Combine like terms: -1inx3S + inx3S = 0 -2cos + cosx3 + 0 = 0 + inx3S -2cos + cosx3 = 0 + inx3S Remove the zero: -2cos + cosx3 = inx3S 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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