3cos^2x-5cosx=1+3sin^2x

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Solution for 3cos^2x-5cosx=1+3sin^2x equation: 


Simplifying
3cos2x + -5cosx = 1 + 3sin2x

Reorder the terms:
-5cosx + 3cos2x = 1 + 3sin2x

Solving
-5cosx + 3cos2x = 1 + 3in2sx

Solving for variable 'c'.

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

Reorder the terms:
-1 + -5cosx + 3cos2x + -3in2sx = 1 + 3in2sx + -1 + -3in2sx

Reorder the terms:
-1 + -5cosx + 3cos2x + -3in2sx = 1 + -1 + 3in2sx + -3in2sx

Combine like terms: 1 + -1 = 0
-1 + -5cosx + 3cos2x + -3in2sx = 0 + 3in2sx + -3in2sx
-1 + -5cosx + 3cos2x + -3in2sx = 3in2sx + -3in2sx

Combine like terms: 3in2sx + -3in2sx = 0
-1 + -5cosx + 3cos2x + -3in2sx = 0

The solution to this equation could not be determined.

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