cos(7x)cos(4x)+sin(7x)sin(4x)=0

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Solution for cos(7x)cos(4x)+sin(7x)sin(4x)=0 equation:


Simplifying
cos(7x) * cos(4x) + sin(7x) * sin(4x) = 0

Remove parenthesis around (7x)
cos * 7x * cos(4x) + sin(7x) * sin(4x) = 0

Remove parenthesis around (4x)
cos * 7x * cos * 4x + sin(7x) * sin(4x) = 0

Reorder the terms for easier multiplication:
7 * 4cos * x * cos * x + sin(7x) * sin(4x) = 0

Multiply 7 * 4
28cos * x * cos * x + sin(7x) * sin(4x) = 0

Multiply cos * x
28cosx * cos * x + sin(7x) * sin(4x) = 0

Multiply cosx * cos
28c2o2s2x * x + sin(7x) * sin(4x) = 0

Multiply c2o2s2x * x
28c2o2s2x2 + sin(7x) * sin(4x) = 0

Remove parenthesis around (7x)
28c2o2s2x2 + ins * 7x * sin(4x) = 0

Remove parenthesis around (4x)
28c2o2s2x2 + ins * 7x * ins * 4x = 0

Reorder the terms for easier multiplication:
28c2o2s2x2 + 7 * 4ins * x * ins * x = 0

Multiply 7 * 4
28c2o2s2x2 + 28ins * x * ins * x = 0

Multiply ins * x
28c2o2s2x2 + 28insx * ins * x = 0

Multiply insx * ins
28c2o2s2x2 + 28i2n2s2x * x = 0

Multiply i2n2s2x * x
28c2o2s2x2 + 28i2n2s2x2 = 0

Solving
28c2o2s2x2 + 28i2n2s2x2 = 0

Solving for variable 'c'.

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

Add '-28i2n2s2x2' to each side of the equation.
28c2o2s2x2 + 28i2n2s2x2 + -28i2n2s2x2 = 0 + -28i2n2s2x2

Combine like terms: 28i2n2s2x2 + -28i2n2s2x2 = 0
28c2o2s2x2 + 0 = 0 + -28i2n2s2x2
28c2o2s2x2 = 0 + -28i2n2s2x2
Remove the zero:
28c2o2s2x2 = -28i2n2s2x2

Divide each side by '28o2s2x2'.
c2 = -1i2n2o-2

Simplifying
c2 = -1i2n2o-2

Combine like terms: -1i2n2o-2 + i2n2o-2 = 0
c2 + i2n2o-2 = 0

The solution to this equation could not be determined.

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