3cos^2(6x)-8cos(3x)+5=0

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Solution for 3cos^2(6x)-8cos(3x)+5=0 equation:


Simplifying
3cos2(6x) + -8cos(3x) + 5 = 0

Remove parenthesis around (6x)
3cos2 * 6x + -8cos(3x) + 5 = 0

Reorder the terms for easier multiplication:
3 * 6cos2 * x + -8cos(3x) + 5 = 0

Multiply 3 * 6
18cos2 * x + -8cos(3x) + 5 = 0

Multiply cos2 * x
18cos2x + -8cos(3x) + 5 = 0

Remove parenthesis around (3x)
18cos2x + -8cos * 3x + 5 = 0

Reorder the terms for easier multiplication:
18cos2x + -8 * 3cos * x + 5 = 0

Multiply -8 * 3
18cos2x + -24cos * x + 5 = 0

Multiply cos * x
18cos2x + -24cosx + 5 = 0

Reorder the terms:
5 + -24cosx + 18cos2x = 0

Solving
5 + -24cosx + 18cos2x = 0

Solving for variable 'c'.

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

Add '-5' to each side of the equation.
5 + -24cosx + -5 + 18cos2x = 0 + -5

Reorder the terms:
5 + -5 + -24cosx + 18cos2x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -24cosx + 18cos2x = 0 + -5
-24cosx + 18cos2x = 0 + -5

Combine like terms: 0 + -5 = -5
-24cosx + 18cos2x = -5

Reorder the terms:
5 + -24cosx + 18cos2x = -5 + 5

Combine like terms: -5 + 5 = 0
5 + -24cosx + 18cos2x = 0

The solution to this equation could not be determined.

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