2tan^2(x)+3tan(x)+1=0

Solution for 2tan^2(x)+3tan(x)+1=0 equation:

Simplifying
2tan2(x) + 3tan(x) + 1 = 0

Multiply an2t * x
2an2tx + 3tan(x) + 1 = 0

Multiply ant * x
2an2tx + 3antx + 1 = 0

Reorder the terms:
1 + 3antx + 2an2tx = 0

Solving
1 + 3antx + 2an2tx = 0

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-1' to each side of the equation.
1 + 3antx + -1 + 2an2tx = 0 + -1

Reorder the terms:
1 + -1 + 3antx + 2an2tx = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 3antx + 2an2tx = 0 + -1
3antx + 2an2tx = 0 + -1

Combine like terms: 0 + -1 = -1
3antx + 2an2tx = -1

Reorder the terms:
1 + 3antx + 2an2tx = -1 + 1

Combine like terms: -1 + 1 = 0
1 + 3antx + 2an2tx = 0

The solution to this equation could not be determined.