What is the general solution for tan^2(x)+2tan(x)=0 ?

The general solution for tan^2(x)+2tan(x)=0 is x=pin,x=-1.10714…+pin

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tan^2(x)+2tan(x)=0

tan^{2} (x) + 2 tan (x) = 0

x = πn, x = - 1.10714 \dots + πn

Solution steps

tan^{2} (x) + 2 tan (x) = 0

Solve by substitution

tan (x) = 0, tan (x) = - 2

tan (x) = 0 : x = πn

tan (x) = - 2 : x = arctan (- 2) + πn

Combine all the solutions

x = πn, x = arctan (- 2) + πn

Show solutions in decimal form

x = πn, x = - 1.10714 \dots + πn

sin (2 x) + 3 sin (x) = 0

\frac{cos ^{3} ( x )}{sin ( x )} = cot (x)

tan (2 x) = \frac{3}{4}

sin (x) = 1 + cos (x)

2 sin (x) = 1 + \frac{cos ( 2 x )}{sin ( x )}

What is the general solution for tan^2(x)+2tan(x)=0 ?
The general solution for tan^2(x)+2tan(x)=0 is x=pin,x=-1.10714…+pin