10b^2+27b+13=-5

Solution for 10b^2+27b+13=-5 equation:

Simplifying
10b2 + 27b + 13 = -5

Reorder the terms:
13 + 27b + 10b2 = -5

Solving
13 + 27b + 10b2 = -5

Solving for variable 'b'.

Reorder the terms:
13 + 5 + 27b + 10b2 = -5 + 5

Combine like terms: 13 + 5 = 18
18 + 27b + 10b2 = -5 + 5

Combine like terms: -5 + 5 = 0
18 + 27b + 10b2 = 0

Factor a trinomial.
(3 + 2b)(6 + 5b) = 0

Subproblem 1
Set the factor '(3 + 2b)' equal to zero and attempt to solve:

Simplifying
3 + 2b = 0

Solving
3 + 2b = 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 + 2b = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 2b = 0 + -3
2b = 0 + -3

Combine like terms: 0 + -3 = -3
2b = -3

Divide each side by '2'.
b = -1.5

Simplifying
b = -1.5
Subproblem 2
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
Solution
b = {-1.5, -1.2}