What is the general solution for 5sqrt(3)tan(x)+3=8sqrt(3)tan(x) ?

The general solution for 5sqrt(3)tan(x)+3=8sqrt(3)tan(x) is x= pi/6+pin

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5sqrt(3)tan(x)+3=8sqrt(3)tan(x)

53 tan (x) + 3 = 83 tan (x)

x = \frac{π}{6} + πn

Solution steps

53 tan (x) + 3 = 83 tan (x)

Solve by substitution

tan (x) = \frac{3}{3}

tan (x) = \frac{3}{3} : x = \frac{π}{6} + πn

Combine all the solutions

x = \frac{π}{6} + πn

cos^{2} (x) = - 0.5

cos (x) = \frac{1.5}{4.272}

\frac{π}{12} = arcsin (\frac{x}{2})

6 sin^{2} (x) = 0

\frac{1 - tanh ( x )}{1 + tanh ( x )} = 2

What is the general solution for 5sqrt(3)tan(x)+3=8sqrt(3)tan(x) ?
The general solution for 5sqrt(3)tan(x)+3=8sqrt(3)tan(x) is x= pi/6+pin