How do you solve `tan^2x+2tanx+1=0`?

Related questions

• How do you find all solutions trigonometric equations?
• How do you express trigonometric expressions in simplest form?
• How do you solve trigonometric equations by factoring?
• How do you solve trigonometric equations by the quadratic formula?
• How do you use the fundamental identities to solve trigonometric equations?
• What are other methods for solving equations that can be adapted to solving trigonometric equations?
• How do you solve `\sin^2 x - 2 \sin x - 3 = 0` over the interval `[0,2pi]`?
• How do you find all the solutions for `2 \sin^2 \frac{x}{4}-3 \cos \frac{x}{4} = 0` over the...
• How do you solve `\cos^2 x = \frac{1}{16}` over the interval `[0,2pi]`?
• How do you solve for x in `3sin2x=cos2x` for the interval `0 ≤ x < 2π`