6a^2b^2-19ab-20=0

Solution for 6a^2b^2-19ab-20=0 equation:

Simplifying
6a2b2 + -19ab + -20 = 0

Reorder the terms:
-20 + -19ab + 6a2b2 = 0

Solving
-20 + -19ab + 6a2b2 = 0

Solving for variable 'a'.

Factor a trinomial.
(-5 + -6ab)(4 + -1ab) = 0

Subproblem 1
Set the factor '(-5 + -6ab)' equal to zero and attempt to solve:

Simplifying
-5 + -6ab = 0

Solving
-5 + -6ab = 0

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

Add '5' to each side of the equation.
-5 + 5 + -6ab = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -6ab = 0 + 5
-6ab = 0 + 5

Combine like terms: 0 + 5 = 5
-6ab = 5

Divide each side by '-6b'.
a = -0.8333333333b-1

Simplifying
a = -0.8333333333b-1
Subproblem 2
Set the factor '(4 + -1ab)' equal to zero and attempt to solve:

Simplifying
4 + -1ab = 0

Solving
4 + -1ab = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1ab = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1ab = 0 + -4
-1ab = 0 + -4

Combine like terms: 0 + -4 = -4
-1ab = -4

Divide each side by '-1b'.
a = 4b-1

Simplifying
a = 4b-1
Solution
a = {-0.8333333333b-1, 4b-1}