30b^2+37b-3=-13

Solution for 30b^2+37b-3=-13 equation:

Simplifying
30b2 + 37b + -3 = -13

Reorder the terms:
-3 + 37b + 30b2 = -13

Solving
-3 + 37b + 30b2 = -13

Solving for variable 'b'.

Reorder the terms:
-3 + 13 + 37b + 30b2 = -13 + 13

Combine like terms: -3 + 13 = 10
10 + 37b + 30b2 = -13 + 13

Combine like terms: -13 + 13 = 0
10 + 37b + 30b2 = 0

Factor a trinomial.
(5 + 6b)(2 + 5b) = 0

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

Simplifying
5 + 6b = 0

Solving
5 + 6b = 0

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

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

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

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

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

Simplifying
b = -0.8333333333
Subproblem 2
Set the factor '(2 + 5b)' equal to zero and attempt to solve:

Simplifying
2 + 5b = 0

Solving
2 + 5b = 0

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

Add '-2' to each side of the equation.
2 + -2 + 5b = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 5b = 0 + -2
5b = 0 + -2

Combine like terms: 0 + -2 = -2
5b = -2

Divide each side by '5'.
b = -0.4

Simplifying
b = -0.4
Solution
b = {-0.8333333333, -0.4}