4-2cos(a)+cos^2(a)-9cos(2a)=0

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Solution for 4-2cos(a)+cos^2(a)-9cos(2a)=0 equation:


Simplifying
4 + -2cos(a) + cos2(a) + -9cos(2a) = 0

Multiply cos * a
4 + -2acos + cos2(a) + -9cos(2a) = 0

Multiply cos2 * a
4 + -2acos + acos2 + -9cos(2a) = 0

Remove parenthesis around (2a)
4 + -2acos + acos2 + -9cos * 2a = 0

Reorder the terms for easier multiplication:
4 + -2acos + acos2 + -9 * 2cos * a = 0

Multiply -9 * 2
4 + -2acos + acos2 + -18cos * a = 0

Multiply cos * a
4 + -2acos + acos2 + -18acos = 0

Reorder the terms:
4 + -2acos + -18acos + acos2 = 0

Combine like terms: -2acos + -18acos = -20acos
4 + -20acos + acos2 = 0

Solving
4 + -20acos + acos2 = 0

Solving for variable 'a'.

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

Add '-4' to each side of the equation.
4 + -20acos + -4 + acos2 = 0 + -4

Reorder the terms:
4 + -4 + -20acos + acos2 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -20acos + acos2 = 0 + -4
-20acos + acos2 = 0 + -4

Combine like terms: 0 + -4 = -4
-20acos + acos2 = -4

Reorder the terms:
4 + -20acos + acos2 = -4 + 4

Combine like terms: -4 + 4 = 0
4 + -20acos + acos2 = 0

The solution to this equation could not be determined.

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