Sin(4x)cos(7x)=-(cos(4x)sin(7x))

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Solution for Sin(4x)cos(7x)=-(cos(4x)sin(7x)) equation: 


Simplifying
Sin(4x) * cos(7x) = -1(cos(4x) * sin(7x))

Remove parenthesis around (4x)
inS * 4x * cos(7x) = -1(cos(4x) * sin(7x))

Remove parenthesis around (7x)
inS * 4x * cos * 7x = -1(cos(4x) * sin(7x))

Reorder the terms for easier multiplication:
4 * 7inS * x * cos * x = -1(cos(4x) * sin(7x))

Multiply 4 * 7
28inS * x * cos * x = -1(cos(4x) * sin(7x))

Multiply inS * x
28inxS * cos * x = -1(cos(4x) * sin(7x))

Multiply inxS * cos
28cinosxS * x = -1(cos(4x) * sin(7x))

Multiply cinosxS * x
28cinosx2S = -1(cos(4x) * sin(7x))

Remove parenthesis around (4x)
28cinosx2S = -1(cos * 4x * sin(7x))

Remove parenthesis around (7x)
28cinosx2S = -1(cos * 4x * ins * 7x)

Reorder the terms for easier multiplication:
28cinosx2S = -1(4 * 7cos * x * ins * x)

Multiply 4 * 7
28cinosx2S = -1(28cos * x * ins * x)

Multiply cos * x
28cinosx2S = -1(28cosx * ins * x)

Multiply cosx * ins
28cinosx2S = -1(28cinos2x * x)

Multiply cinos2x * x
28cinosx2S = -1(28cinos2x2)

Remove parenthesis around (28cinos2x2)
28cinosx2S = -1 * 28cinos2x2

Multiply -1 * 28
28cinosx2S = -28cinos2x2

Solving
28cinosx2S = -28cinos2x2

Solving for variable 'c'.

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

Add '28cinos2x2' to each side of the equation.
28cinosx2S + 28cinos2x2 = -28cinos2x2 + 28cinos2x2

Combine like terms: -28cinos2x2 + 28cinos2x2 = 0
28cinosx2S + 28cinos2x2 = 0

Factor out the Greatest Common Factor (GCF), '28cinosx2'.
28cinosx2(S + s) = 0

Ignore the factor 28.

Subproblem 1
Set the factor 'cinosx2' equal to zero and attempt to solve:

Simplifying
cinosx2 = 0

Solving
cinosx2 = 0

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

Simplifying
cinosx2 = 0

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 '(S + s)' equal to zero and attempt to solve:

Simplifying
S + s = 0

Solving
S + 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 + s = 0 + -1S

Combine like terms: S + -1S = 0
0 + s = 0 + -1S
s = 0 + -1S
Remove the zero:
s = -1S

Add '-1s' to each side of the equation.
s + -1s = -1S + -1s

Combine like terms: s + -1s = 0
0 = -1S + -1s

Simplifying
0 = -1S + -1s

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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