6sin^2(X)-3sin(X)cos(X)-cos^2(X)=1

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Solution for 6sin^2(X)-3sin(X)cos(X)-cos^2(X)=1 equation: 


Simplifying
6sin2(X) + -3sin(X) * cos(X) + -1cos2(X) = 1

Multiply in2s * X
6in2sX + -3sin(X) * cos(X) + -1cos2(X) = 1

Multiply ins * X
6in2sX + -3insX * cos * X + -1cos2(X) = 1

Multiply insX * cos
6in2sX + -3cinos2X * X + -1cos2(X) = 1

Multiply cinos2X * X
6in2sX + -3cinos2X2 + -1cos2(X) = 1

Multiply cos2 * X
6in2sX + -3cinos2X2 + -1cos2X = 1

Reorder the terms:
-3cinos2X2 + -1cos2X + 6in2sX = 1

Solving
-3cinos2X2 + -1cos2X + 6in2sX = 1

Solving for variable 'c'.

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

Add '-6in2sX' to each side of the equation.
-3cinos2X2 + -1cos2X + 6in2sX + -6in2sX = 1 + -6in2sX

Combine like terms: 6in2sX + -6in2sX = 0
-3cinos2X2 + -1cos2X + 0 = 1 + -6in2sX
-3cinos2X2 + -1cos2X = 1 + -6in2sX

Reorder the terms:
-1 + -3cinos2X2 + -1cos2X + 6in2sX = 1 + -6in2sX + -1 + 6in2sX

Reorder the terms:
-1 + -3cinos2X2 + -1cos2X + 6in2sX = 1 + -1 + -6in2sX + 6in2sX

Combine like terms: 1 + -1 = 0
-1 + -3cinos2X2 + -1cos2X + 6in2sX = 0 + -6in2sX + 6in2sX
-1 + -3cinos2X2 + -1cos2X + 6in2sX = -6in2sX + 6in2sX

Combine like terms: -6in2sX + 6in2sX = 0
-1 + -3cinos2X2 + -1cos2X + 6in2sX = 0

The solution to this equation could not be determined.

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