-sin^2x-sinx=-cos^2x+cosx

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Solution for -sin^2x-sinx=-cos^2x+cosx equation: 


Simplifying
-1sin2x + -1sinx = -1cos2x + cosx

Reorder the terms:
-1insx + -1in2sx = -1cos2x + cosx

Reorder the terms:
-1insx + -1in2sx = cosx + -1cos2x

Solving
-1insx + -1in2sx = cosx + -1cos2x

Solving for variable 'i'.

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

Reorder the terms:
-1cosx + cos2x + -1insx + -1in2sx = cosx + -1cos2x + -1cosx + cos2x

Reorder the terms:
-1cosx + cos2x + -1insx + -1in2sx = cosx + -1cosx + -1cos2x + cos2x

Combine like terms: cosx + -1cosx = 0
-1cosx + cos2x + -1insx + -1in2sx = 0 + -1cos2x + cos2x
-1cosx + cos2x + -1insx + -1in2sx = -1cos2x + cos2x

Combine like terms: -1cos2x + cos2x = 0
-1cosx + cos2x + -1insx + -1in2sx = 0

Factor out the Greatest Common Factor (GCF), 'sx'.
sx(-1co + cos + -1in + -1in2) = 0


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

Simplifying
sx = 0

Solving
sx = 0

Move all terms containing i 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 '(-1co + cos + -1in + -1in2)' equal to zero and attempt to solve:

Simplifying
-1co + cos + -1in + -1in2 = 0

Solving
-1co + cos + -1in + -1in2 = 0

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

Add 'co' to each side of the equation.
-1co + cos + -1in + co + -1in2 = 0 + co

Reorder the terms:
-1co + co + cos + -1in + -1in2 = 0 + co

Combine like terms: -1co + co = 0
0 + cos + -1in + -1in2 = 0 + co
cos + -1in + -1in2 = 0 + co
Remove the zero:
cos + -1in + -1in2 = co

Add '-1cos' to each side of the equation.
cos + -1in + -1cos + -1in2 = co + -1cos

Reorder the terms:
cos + -1cos + -1in + -1in2 = co + -1cos

Combine like terms: cos + -1cos = 0
0 + -1in + -1in2 = co + -1cos
-1in + -1in2 = co + -1cos

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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