2tan^2x+5tanx+3=0

Solution for 2tan^2x+5tanx+3=0 equation:

Simplifying
2tan2x + 5tanx + 3 = 0

Reorder the terms:
3 + 5antx + 2an2tx = 0

Solving
3 + 5antx + 2an2tx = 0

Solving for variable 'a'.

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

Add '-3' to each side of the equation.
3 + 5antx + -3 + 2an2tx = 0 + -3

Reorder the terms:
3 + -3 + 5antx + 2an2tx = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 5antx + 2an2tx = 0 + -3
5antx + 2an2tx = 0 + -3

Combine like terms: 0 + -3 = -3
5antx + 2an2tx = -3

Reorder the terms:
3 + 5antx + 2an2tx = -3 + 3

Combine like terms: -3 + 3 = 0
3 + 5antx + 2an2tx = 0

The solution to this equation could not be determined.