cos(x)cos(7x)-cos(3x)cos(5x)=0

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


Simplifying
cos(x) * cos(7x) + -1cos(3x) * cos(5x) = 0

Remove parenthesis around (7x)
cos * x * cos * 7x + -1cos(3x) * cos(5x) = 0

Reorder the terms for easier multiplication:
7cos * x * cos * x + -1cos(3x) * cos(5x) = 0

Multiply cos * x
7cosx * cos * x + -1cos(3x) * cos(5x) = 0

Multiply cosx * cos
7c2o2s2x * x + -1cos(3x) * cos(5x) = 0

Multiply c2o2s2x * x
7c2o2s2x2 + -1cos(3x) * cos(5x) = 0

Remove parenthesis around (3x)
7c2o2s2x2 + -1cos * 3x * cos(5x) = 0

Remove parenthesis around (5x)
7c2o2s2x2 + -1cos * 3x * cos * 5x = 0

Reorder the terms for easier multiplication:
7c2o2s2x2 + -1 * 3 * 5cos * x * cos * x = 0

Multiply -1 * 3
7c2o2s2x2 + -3 * 5cos * x * cos * x = 0

Multiply -3 * 5
7c2o2s2x2 + -15cos * x * cos * x = 0

Multiply cos * x
7c2o2s2x2 + -15cosx * cos * x = 0

Multiply cosx * cos
7c2o2s2x2 + -15c2o2s2x * x = 0

Multiply c2o2s2x * x
7c2o2s2x2 + -15c2o2s2x2 = 0

Combine like terms: 7c2o2s2x2 + -15c2o2s2x2 = -8c2o2s2x2
-8c2o2s2x2 = 0

Solving
-8c2o2s2x2 = 0

Solving for variable 'c'.

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

Divide each side by '-8'.
c2o2s2x2 = 0

Simplifying
c2o2s2x2 = 0

The solution to this equation could not be determined.

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