tan(3*x)*tan(2*x)=0.5

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Solution for tan(3*x)*tan(2*x)=0.5 equation: 


Simplifying
tan(3x) * tan(2x) = 0.5

Remove parenthesis around (3x)
ant * 3x * tan(2x) = 0.5

Remove parenthesis around (2x)
ant * 3x * ant * 2x = 0.5

Reorder the terms for easier multiplication:
3 * 2ant * x * ant * x = 0.5

Multiply 3 * 2
6ant * x * ant * x = 0.5

Multiply ant * x
6antx * ant * x = 0.5

Multiply antx * ant
6a2n2t2x * x = 0.5

Multiply a2n2t2x * x
6a2n2t2x2 = 0.5

Solving
6a2n2t2x2 = 0.5

Solving for variable 'a'.

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

Divide each side by '6n2t2x2'.
a2 = 0.08333333333n-2t-2x-2

Simplifying
a2 = 0.08333333333n-2t-2x-2

Take the square root of each side:
a = {-0.288675135n-1t-1x-1, 0.288675135n-1t-1x-1}

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