cos(x)*cos(2x)=sin(x)*sin(2x)+1

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Solution for cos(x)*cos(2x)=sin(x)*sin(2x)+1 equation: 


Simplifying
cos(x) * cos(2x) = sin(x) * sin(2x) + 1

Remove parenthesis around (2x)
cos * x * cos * 2x = sin(x) * sin(2x) + 1

Reorder the terms for easier multiplication:
2cos * x * cos * x = sin(x) * sin(2x) + 1

Multiply cos * x
2cosx * cos * x = sin(x) * sin(2x) + 1

Multiply cosx * cos
2c2o2s2x * x = sin(x) * sin(2x) + 1

Multiply c2o2s2x * x
2c2o2s2x2 = sin(x) * sin(2x) + 1

Remove parenthesis around (2x)
2c2o2s2x2 = ins * x * ins * 2x + 1

Reorder the terms for easier multiplication:
2c2o2s2x2 = 2ins * x * ins * x + 1

Multiply ins * x
2c2o2s2x2 = 2insx * ins * x + 1

Multiply insx * ins
2c2o2s2x2 = 2i2n2s2x * x + 1

Multiply i2n2s2x * x
2c2o2s2x2 = 2i2n2s2x2 + 1

Reorder the terms:
2c2o2s2x2 = 1 + 2i2n2s2x2

Solving
2c2o2s2x2 = 1 + 2i2n2s2x2

Solving for variable 'c'.

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

Divide each side by '2o2s2x2'.
c2 = 0.5o-2s-2x-2 + i2n2o-2

Simplifying
c2 = 0.5o-2s-2x-2 + i2n2o-2

Reorder the terms:
c2 = i2n2o-2 + 0.5o-2s-2x-2

Reorder the terms:
c2 + -1i2n2o-2 + -0.5o-2s-2x-2 = i2n2o-2 + -1i2n2o-2 + 0.5o-2s-2x-2 + -0.5o-2s-2x-2

Combine like terms: i2n2o-2 + -1i2n2o-2 = 0
c2 + -1i2n2o-2 + -0.5o-2s-2x-2 = 0 + 0.5o-2s-2x-2 + -0.5o-2s-2x-2
c2 + -1i2n2o-2 + -0.5o-2s-2x-2 = 0.5o-2s-2x-2 + -0.5o-2s-2x-2

Combine like terms: 0.5o-2s-2x-2 + -0.5o-2s-2x-2 = 0.0
c2 + -1i2n2o-2 + -0.5o-2s-2x-2 = 0.0

The solution to this equation could not be determined.

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