60b^2+31b-3=0

Solution for 60b^2+31b-3=0 equation:

Simplifying
60b2 + 31b + -3 = 0

Reorder the terms:
-3 + 31b + 60b2 = 0

Solving
-3 + 31b + 60b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(-3 + -5b)(1 + -12b) = 0

Subproblem 1
Set the factor '(-3 + -5b)' equal to zero and attempt to solve:

Simplifying
-3 + -5b = 0

Solving
-3 + -5b = 0

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

Add '3' to each side of the equation.
-3 + 3 + -5b = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -5b = 0 + 3
-5b = 0 + 3

Combine like terms: 0 + 3 = 3
-5b = 3

Divide each side by '-5'.
b = -0.6

Simplifying
b = -0.6
Subproblem 2
Set the factor '(1 + -12b)' equal to zero and attempt to solve:

Simplifying
1 + -12b = 0

Solving
1 + -12b = 0

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

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

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

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

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

Simplifying
b = 0.08333333333
Solution
b = {-0.6, 0.08333333333}