Tan^2(x)+5tan(x)-1=0

Solution for Tan^2(x)+5tan(x)-1=0 equation:

Simplifying
Tan2(x) + 5tan(x) + -1 = 0

Multiply an2T * x
an2xT + 5tan(x) + -1 = 0

Multiply ant * x
an2xT + 5antx + -1 = 0

Reorder the terms:
-1 + 5antx + an2xT = 0

Solving
-1 + 5antx + an2xT = 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 + 5antx + 1 + an2xT = 0 + 1

Reorder the terms:
-1 + 1 + 5antx + an2xT = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 5antx + an2xT = 0 + 1
5antx + an2xT = 0 + 1

Combine like terms: 0 + 1 = 1
5antx + an2xT = 1

Reorder the terms:
-1 + 5antx + an2xT = 1 + -1

Combine like terms: 1 + -1 = 0
-1 + 5antx + an2xT = 0

The solution to this equation could not be determined.