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

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


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

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

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

Multiply 2 * 2
4cos * x * cos * x + -2sin(2x) * sin(x) = 1

Multiply cos * x
4cosx * cos * x + -2sin(2x) * sin(x) = 1

Multiply cosx * cos
4c2o2s2x * x + -2sin(2x) * sin(x) = 1

Multiply c2o2s2x * x
4c2o2s2x2 + -2sin(2x) * sin(x) = 1

Remove parenthesis around (2x)
4c2o2s2x2 + -2ins * 2x * sin(x) = 1

Reorder the terms for easier multiplication:
4c2o2s2x2 + -2 * 2ins * x * ins * x = 1

Multiply -2 * 2
4c2o2s2x2 + -4ins * x * ins * x = 1

Multiply ins * x
4c2o2s2x2 + -4insx * ins * x = 1

Multiply insx * ins
4c2o2s2x2 + -4i2n2s2x * x = 1

Multiply i2n2s2x * x
4c2o2s2x2 + -4i2n2s2x2 = 1

Solving
4c2o2s2x2 + -4i2n2s2x2 = 1

Solving for variable 'c'.

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

Add '4i2n2s2x2' to each side of the equation.
4c2o2s2x2 + -4i2n2s2x2 + 4i2n2s2x2 = 1 + 4i2n2s2x2

Combine like terms: -4i2n2s2x2 + 4i2n2s2x2 = 0
4c2o2s2x2 + 0 = 1 + 4i2n2s2x2
4c2o2s2x2 = 1 + 4i2n2s2x2

Divide each side by '4o2s2x2'.
c2 = 0.25o-2s-2x-2 + i2n2o-2

Simplifying
c2 = 0.25o-2s-2x-2 + i2n2o-2

Reorder the terms:
c2 = i2n2o-2 + 0.25o-2s-2x-2

Reorder the terms:
c2 + -1i2n2o-2 + -0.25o-2s-2x-2 = i2n2o-2 + -1i2n2o-2 + 0.25o-2s-2x-2 + -0.25o-2s-2x-2

Combine like terms: i2n2o-2 + -1i2n2o-2 = 0
c2 + -1i2n2o-2 + -0.25o-2s-2x-2 = 0 + 0.25o-2s-2x-2 + -0.25o-2s-2x-2
c2 + -1i2n2o-2 + -0.25o-2s-2x-2 = 0.25o-2s-2x-2 + -0.25o-2s-2x-2

Combine like terms: 0.25o-2s-2x-2 + -0.25o-2s-2x-2 = 0.00
c2 + -1i2n2o-2 + -0.25o-2s-2x-2 = 0.00

The solution to this equation could not be determined.

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