(1+2cosx)(1-2cosx)=4sin^2x-3

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Solution for (1+2cosx)(1-2cosx)=4sin^2x-3 equation: 


Simplifying
(1 + 2cosx)(1 + -2cosx) = 4sin2x + -3

Multiply (1 + 2cosx) * (1 + -2cosx)
(1(1 + -2cosx) + 2cosx * (1 + -2cosx)) = 4sin2x + -3
((1 * 1 + -2cosx * 1) + 2cosx * (1 + -2cosx)) = 4sin2x + -3
((1 + -2cosx) + 2cosx * (1 + -2cosx)) = 4sin2x + -3
(1 + -2cosx + (1 * 2cosx + -2cosx * 2cosx)) = 4sin2x + -3
(1 + -2cosx + (2cosx + -4c2o2s2x2)) = 4sin2x + -3

Combine like terms: -2cosx + 2cosx = 0
(1 + 0 + -4c2o2s2x2) = 4sin2x + -3
(1 + -4c2o2s2x2) = 4sin2x + -3

Reorder the terms:
1 + -4c2o2s2x2 = -3 + 4in2sx

Solving
1 + -4c2o2s2x2 = -3 + 4in2sx

Solving for variable 'c'.

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

Add '-1' to each side of the equation.
1 + -1 + -4c2o2s2x2 = -3 + -1 + 4in2sx

Combine like terms: 1 + -1 = 0
0 + -4c2o2s2x2 = -3 + -1 + 4in2sx
-4c2o2s2x2 = -3 + -1 + 4in2sx

Combine like terms: -3 + -1 = -4
-4c2o2s2x2 = -4 + 4in2sx

Divide each side by '-4o2s2x2'.
c2 = o-2s-2x-2 + -1in2o-2s-1x-1

Simplifying
c2 = o-2s-2x-2 + -1in2o-2s-1x-1

Reorder the terms:
c2 = -1in2o-2s-1x-1 + o-2s-2x-2

Reorder the terms:
c2 + in2o-2s-1x-1 + -1o-2s-2x-2 = -1in2o-2s-1x-1 + in2o-2s-1x-1 + o-2s-2x-2 + -1o-2s-2x-2

Combine like terms: -1in2o-2s-1x-1 + in2o-2s-1x-1 = 0
c2 + in2o-2s-1x-1 + -1o-2s-2x-2 = 0 + o-2s-2x-2 + -1o-2s-2x-2
c2 + in2o-2s-1x-1 + -1o-2s-2x-2 = o-2s-2x-2 + -1o-2s-2x-2

Combine like terms: o-2s-2x-2 + -1o-2s-2x-2 = 0
c2 + in2o-2s-1x-1 + -1o-2s-2x-2 = 0

The solution to this equation could not be determined.

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