Cos^2(3x)-3cos(3x)+2=0

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Solution for Cos^2(3x)-3cos(3x)+2=0 equation:


Simplifying
Cos2(3x) + -3cos(3x) + 2 = 0

Remove parenthesis around (3x)
os2C * 3x + -3cos(3x) + 2 = 0

Reorder the terms for easier multiplication:
3os2C * x + -3cos(3x) + 2 = 0

Multiply os2C * x
3os2xC + -3cos(3x) + 2 = 0

Remove parenthesis around (3x)
3os2xC + -3cos * 3x + 2 = 0

Reorder the terms for easier multiplication:
3os2xC + -3 * 3cos * x + 2 = 0

Multiply -3 * 3
3os2xC + -9cos * x + 2 = 0

Multiply cos * x
3os2xC + -9cosx + 2 = 0

Reorder the terms:
2 + -9cosx + 3os2xC = 0

Solving
2 + -9cosx + 3os2xC = 0

Solving for variable 'c'.

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

Add '-2' to each side of the equation.
2 + -9cosx + -2 + 3os2xC = 0 + -2

Reorder the terms:
2 + -2 + -9cosx + 3os2xC = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -9cosx + 3os2xC = 0 + -2
-9cosx + 3os2xC = 0 + -2

Combine like terms: 0 + -2 = -2
-9cosx + 3os2xC = -2

Add '-3os2xC' to each side of the equation.
-9cosx + 3os2xC + -3os2xC = -2 + -3os2xC

Combine like terms: 3os2xC + -3os2xC = 0
-9cosx + 0 = -2 + -3os2xC
-9cosx = -2 + -3os2xC

Divide each side by '-9osx'.
c = 0.2222222222o-1s-1x-1 + 0.3333333333sC

Simplifying
c = 0.2222222222o-1s-1x-1 + 0.3333333333sC

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