2b^2+11b=-9

Solution for 2b^2+11b=-9 equation:

Simplifying
2b2 + 11b = -9

Reorder the terms:
11b + 2b2 = -9

Solving
11b + 2b2 = -9

Solving for variable 'b'.

Reorder the terms:
9 + 11b + 2b2 = -9 + 9

Combine like terms: -9 + 9 = 0
9 + 11b + 2b2 = 0

Factor a trinomial.
(9 + 2b)(1 + b) = 0

Subproblem 1
Set the factor '(9 + 2b)' equal to zero and attempt to solve:

Simplifying
9 + 2b = 0

Solving
9 + 2b = 0

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

Add '-9' to each side of the equation.
9 + -9 + 2b = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 2b = 0 + -9
2b = 0 + -9

Combine like terms: 0 + -9 = -9
2b = -9

Divide each side by '2'.
b = -4.5

Simplifying
b = -4.5
Subproblem 2
Set the factor '(1 + b)' equal to zero and attempt to solve:

Simplifying
1 + b = 0

Solving
1 + b = 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 + b = 0 + -1

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

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

Simplifying
b = -1
Solution
b = {-4.5, -1}