-60a^2b^2-7ab=-1

Solution for -60a^2b^2-7ab=-1 equation:

Simplifying
-60a2b2 + -7ab = -1

Reorder the terms:
-7ab + -60a2b2 = -1

Solving
-7ab + -60a2b2 = -1

Solving for variable 'a'.

Reorder the terms:
1 + -7ab + -60a2b2 = -1 + 1

Combine like terms: -1 + 1 = 0
1 + -7ab + -60a2b2 = 0

Factor a trinomial.
(1 + -12ab)(1 + 5ab) = 0

Subproblem 1
Set the factor '(1 + -12ab)' equal to zero and attempt to solve:

Simplifying
1 + -12ab = 0

Solving
1 + -12ab = 0

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

Add '-1' to each side of the equation.
1 + -1 + -12ab = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -12ab = 0 + -1
-12ab = 0 + -1

Combine like terms: 0 + -1 = -1
-12ab = -1

Divide each side by '-12b'.
a = 0.08333333333b-1

Simplifying
a = 0.08333333333b-1
Subproblem 2
Set the factor '(1 + 5ab)' equal to zero and attempt to solve:

Simplifying
1 + 5ab = 0

Solving
1 + 5ab = 0

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

Add '-1' to each side of the equation.
1 + -1 + 5ab = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 5ab = 0 + -1
5ab = 0 + -1

Combine like terms: 0 + -1 = -1
5ab = -1

Divide each side by '5b'.
a = -0.2b-1

Simplifying
a = -0.2b-1
Solution
a = {0.08333333333b-1, -0.2b-1}