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

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


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

Remove parenthesis around (7X)
3cos * 7X * cos(5x) + 3sin(7x) * sin(5x) = 0

Remove parenthesis around (5x)
3cos * 7X * cos * 5x + 3sin(7x) * sin(5x) = 0

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

Multiply 3 * 7
21 * 5cos * X * cos * x + 3sin(7x) * sin(5x) = 0

Multiply 21 * 5
105cos * X * cos * x + 3sin(7x) * sin(5x) = 0

Multiply cos * X
105cosX * cos * x + 3sin(7x) * sin(5x) = 0

Multiply cosX * cos
105c2o2s2X * x + 3sin(7x) * sin(5x) = 0

Multiply c2o2s2X * x
105c2o2s2xX + 3sin(7x) * sin(5x) = 0

Remove parenthesis around (7x)
105c2o2s2xX + 3ins * 7x * sin(5x) = 0

Remove parenthesis around (5x)
105c2o2s2xX + 3ins * 7x * ins * 5x = 0

Reorder the terms for easier multiplication:
105c2o2s2xX + 3 * 7 * 5ins * x * ins * x = 0

Multiply 3 * 7
105c2o2s2xX + 21 * 5ins * x * ins * x = 0

Multiply 21 * 5
105c2o2s2xX + 105ins * x * ins * x = 0

Multiply ins * x
105c2o2s2xX + 105insx * ins * x = 0

Multiply insx * ins
105c2o2s2xX + 105i2n2s2x * x = 0

Multiply i2n2s2x * x
105c2o2s2xX + 105i2n2s2x2 = 0

Solving
105c2o2s2xX + 105i2n2s2x2 = 0

Solving for variable 'c'.

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

Add '-105i2n2s2x2' to each side of the equation.
105c2o2s2xX + 105i2n2s2x2 + -105i2n2s2x2 = 0 + -105i2n2s2x2

Combine like terms: 105i2n2s2x2 + -105i2n2s2x2 = 0
105c2o2s2xX + 0 = 0 + -105i2n2s2x2
105c2o2s2xX = 0 + -105i2n2s2x2
Remove the zero:
105c2o2s2xX = -105i2n2s2x2

Divide each side by '105o2s2xX'.
c2 = -1i2n2o-2xX-1

Simplifying
c2 = -1i2n2o-2xX-1

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

The solution to this equation could not be determined.

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