What is the general solution for 14tan^2(x)=-14tan(x) ?

The general solution for 14tan^2(x)=-14tan(x) is x=pin,x=(3pi)/4+pin

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14tan^2(x)=-14tan(x)

14 tan^{2} (x) = - 14 tan (x)

x = πn, x = \frac{3 π}{4} + πn

Solution steps

14 tan^{2} (x) = - 14 tan (x)

Solve by substitution

tan (x) = 0, tan (x) = - 1

tan (x) = 0 : x = πn

tan (x) = - 1 : x = \frac{3 π}{4} + πn

Combine all the solutions

x = πn, x = \frac{3 π}{4} + πn

- \frac{π}{6} = arctan (x)

sin^{2} (x) - sin (x) cos (x) = 0

cot (χ - \frac{π}{4}) = - 1

cos (3 x - 1) = 0

x, sec^{2} (x y) y = 0

What is the general solution for 14tan^2(x)=-14tan(x) ?
The general solution for 14tan^2(x)=-14tan(x) is x=pin,x=(3pi)/4+pin