sin(x)(cos(x)+cos(3x)+cos(5x)+cos(7x))=0

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Solution for sin(x)(cos(x)+cos(3x)+cos(5x)+cos(7x))=0 equation: 


Simplifying
sin(x)(cos(x) + cos(3x) + cos(5x) + cos(7x)) = 0

Multiply cos * x
ins * x(cosx + cos(3x) + cos(5x) + cos(7x)) = 0

Remove parenthesis around (3x)
ins * x(cosx + cos * 3x + cos(5x) + cos(7x)) = 0

Reorder the terms for easier multiplication:
ins * x(cosx + 3cos * x + cos(5x) + cos(7x)) = 0

Multiply cos * x
ins * x(cosx + 3cosx + cos(5x) + cos(7x)) = 0

Remove parenthesis around (5x)
ins * x(cosx + 3cosx + cos * 5x + cos(7x)) = 0

Reorder the terms for easier multiplication:
ins * x(cosx + 3cosx + 5cos * x + cos(7x)) = 0

Multiply cos * x
ins * x(cosx + 3cosx + 5cosx + cos(7x)) = 0

Remove parenthesis around (7x)
ins * x(cosx + 3cosx + 5cosx + cos * 7x) = 0

Reorder the terms for easier multiplication:
ins * x(cosx + 3cosx + 5cosx + 7cos * x) = 0

Multiply cos * x
ins * x(cosx + 3cosx + 5cosx + 7cosx) = 0

Combine like terms: cosx + 3cosx = 4cosx
ins * x(4cosx + 5cosx + 7cosx) = 0

Combine like terms: 4cosx + 5cosx = 9cosx
ins * x(9cosx + 7cosx) = 0

Combine like terms: 9cosx + 7cosx = 16cosx
ins * x(16cosx) = 0

Remove parenthesis around (16cosx)
ins * x * 16cosx = 0

Reorder the terms for easier multiplication:
16ins * x * cosx = 0

Multiply ins * x
16insx * cosx = 0

Multiply insx * cosx
16cinos2x2 = 0

Solving
16cinos2x2 = 0

Solving for variable 'c'.

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

Divide each side by '16'.
cinos2x2 = 0

Simplifying
cinos2x2 = 0

The solution to this equation could not be determined.

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