20b^2+39b+11=-7

Solution for 20b^2+39b+11=-7 equation:

Simplifying
20b2 + 39b + 11 = -7

Reorder the terms:
11 + 39b + 20b2 = -7

Solving
11 + 39b + 20b2 = -7

Solving for variable 'b'.

Reorder the terms:
11 + 7 + 39b + 20b2 = -7 + 7

Combine like terms: 11 + 7 = 18
18 + 39b + 20b2 = -7 + 7

Combine like terms: -7 + 7 = 0
18 + 39b + 20b2 = 0

Factor a trinomial.
(6 + 5b)(3 + 4b) = 0

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

Simplifying
6 + 5b = 0

Solving
6 + 5b = 0

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

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

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

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

Divide each side by '5'.
b = -1.2

Simplifying
b = -1.2
Subproblem 2
Set the factor '(3 + 4b)' equal to zero and attempt to solve:

Simplifying
3 + 4b = 0

Solving
3 + 4b = 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 + 4b = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 4b = 0 + -3
4b = 0 + -3

Combine like terms: 0 + -3 = -3
4b = -3

Divide each side by '4'.
b = -0.75

Simplifying
b = -0.75
Solution
b = {-1.2, -0.75}