What is the general solution for tan^2(x)+5tan(x)=0 ?

The general solution for tan^2(x)+5tan(x)=0 is x=pin,x=-1.37340…+pin

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tan^2(x)+5tan(x)=0

tan^{2} (x) + 5 tan (x) = 0

x = πn, x = - 1.37340 \dots + πn

Solution steps

tan^{2} (x) + 5 tan (x) = 0

Solve by substitution

tan (x) = 0, tan (x) = - 5

tan (x) = 0 : x = πn

tan (x) = - 5 : x = arctan (- 5) + πn

Combine all the solutions

x = πn, x = arctan (- 5) + πn

Show solutions in decimal form

x = πn, x = - 1.37340 \dots + πn

1 - sinh^{2} (x) = 0

sin (y + 1 0^{\circ}) = cos (y + 2 0^{\circ})

tan (x) = - 1, 7

tan (θ) (3 cos^{2} (θ) - sin^{2} (θ)) = 0

sin^{3} (x) = cos^{2} (x)

What is the general solution for tan^2(x)+5tan(x)=0 ?
The general solution for tan^2(x)+5tan(x)=0 is x=pin,x=-1.37340…+pin