6-cos^2x=3senx(4-senx)

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Solution for 6-cos^2x=3senx(4-senx) equation:


Simplifying
6 + -1cos2x = 3senx(4 + -1senx)
6 + -1cos2x = (4 * 3ensx + -1ensx * 3ensx)
6 + -1cos2x = (12ensx + -3e2n2s2x2)

Solving
6 + -1cos2x = 12ensx + -3e2n2s2x2

Solving for variable 'c'.

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

Add '-6' to each side of the equation.
6 + -6 + -1cos2x = 12ensx + -6 + -3e2n2s2x2

Combine like terms: 6 + -6 = 0
0 + -1cos2x = 12ensx + -6 + -3e2n2s2x2
-1cos2x = 12ensx + -6 + -3e2n2s2x2

Reorder the terms:
-1cos2x = -6 + 12ensx + -3e2n2s2x2

Divide each side by '-1os2x'.
c = 6o-1s-2x-1 + -12eno-1s-1 + 3e2n2o-1x

Simplifying
c = 6o-1s-2x-1 + -12eno-1s-1 + 3e2n2o-1x

Reorder the terms:
c = -12eno-1s-1 + 3e2n2o-1x + 6o-1s-2x-1

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