(Sinx-cosx)(cosx+sinx)=-cos(2x)

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Solution for (Sinx-cosx)(cosx+sinx)=-cos(2x) equation: 


Simplifying
(Sinx + -1cosx)(cosx + sinx) = -1cos(2x)

Reorder the terms:
(-1cosx + inxS)(cosx + sinx) = -1cos(2x)

Multiply (-1cosx + inxS) * (cosx + insx)
(-1cosx * (cosx + insx) + inxS(cosx + insx)) = -1cos(2x)
((cosx * -1cosx + insx * -1cosx) + inxS(cosx + insx)) = -1cos(2x)

Reorder the terms:
((-1cinos2x2 + -1c2o2s2x2) + inxS(cosx + insx)) = -1cos(2x)
((-1cinos2x2 + -1c2o2s2x2) + inxS(cosx + insx)) = -1cos(2x)
(-1cinos2x2 + -1c2o2s2x2 + (cosx * inxS + insx * inxS)) = -1cos(2x)
(-1cinos2x2 + -1c2o2s2x2 + (cinosx2S + i2n2sx2S)) = -1cos(2x)

Reorder the terms:
(cinosx2S + -1cinos2x2 + -1c2o2s2x2 + i2n2sx2S) = -1cos(2x)
(cinosx2S + -1cinos2x2 + -1c2o2s2x2 + i2n2sx2S) = -1cos(2x)

Remove parenthesis around (2x)
cinosx2S + -1cinos2x2 + -1c2o2s2x2 + i2n2sx2S = -1cos * 2x

Reorder the terms for easier multiplication:
cinosx2S + -1cinos2x2 + -1c2o2s2x2 + i2n2sx2S = -1 * 2cos * x

Multiply -1 * 2
cinosx2S + -1cinos2x2 + -1c2o2s2x2 + i2n2sx2S = -2cos * x

Multiply cos * x
cinosx2S + -1cinos2x2 + -1c2o2s2x2 + i2n2sx2S = -2cosx

Solving
cinosx2S + -1cinos2x2 + -1c2o2s2x2 + i2n2sx2S = -2cosx

Solving for variable 'c'.

Reorder the terms:
cinosx2S + -1cinos2x2 + 2cosx + -1c2o2s2x2 + i2n2sx2S = -2cosx + 2cosx

Combine like terms: -2cosx + 2cosx = 0
cinosx2S + -1cinos2x2 + 2cosx + -1c2o2s2x2 + i2n2sx2S = 0

Factor out the Greatest Common Factor (GCF), 'sx'.
sx(cinoxS + -1cinosx + 2co + -1c2o2sx + i2n2xS) = 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 '(cinoxS + -1cinosx + 2co + -1c2o2sx + i2n2xS)' equal to zero and attempt to solve:

Simplifying
cinoxS + -1cinosx + 2co + -1c2o2sx + i2n2xS = 0

Reorder the terms:
-1cinosx + cinoxS + 2co + -1c2o2sx + i2n2xS = 0

Solving
-1cinosx + cinoxS + 2co + -1c2o2sx + i2n2xS = 0

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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