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

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


Simplifying
2cos2(3x) + 3cos(3x) + -2 = 0

Remove parenthesis around (3x)
2cos2 * 3x + 3cos(3x) + -2 = 0

Reorder the terms for easier multiplication:
2 * 3cos2 * x + 3cos(3x) + -2 = 0

Multiply 2 * 3
6cos2 * x + 3cos(3x) + -2 = 0

Multiply cos2 * x
6cos2x + 3cos(3x) + -2 = 0

Remove parenthesis around (3x)
6cos2x + 3cos * 3x + -2 = 0

Reorder the terms for easier multiplication:
6cos2x + 3 * 3cos * x + -2 = 0

Multiply 3 * 3
6cos2x + 9cos * x + -2 = 0

Multiply cos * x
6cos2x + 9cosx + -2 = 0

Reorder the terms:
-2 + 9cosx + 6cos2x = 0

Solving
-2 + 9cosx + 6cos2x = 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 + 6cos2x = 0 + 2

Reorder the terms:
-2 + 2 + 9cosx + 6cos2x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + 9cosx + 6cos2x = 0 + 2
9cosx + 6cos2x = 0 + 2

Combine like terms: 0 + 2 = 2
9cosx + 6cos2x = 2

Reorder the terms:
-2 + 9cosx + 6cos2x = 2 + -2

Combine like terms: 2 + -2 = 0
-2 + 9cosx + 6cos2x = 0

The solution to this equation could not be determined.

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