b^2+17b+30=0

Solution for b^2+17b+30=0 equation:

Simplifying
b2 + 17b + 30 = 0

Reorder the terms:
30 + 17b + b2 = 0

Solving
30 + 17b + b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(15 + b)(2 + b) = 0

Subproblem 1
Set the factor '(15 + b)' equal to zero and attempt to solve:

Simplifying
15 + b = 0

Solving
15 + b = 0

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

Add '-15' to each side of the equation.
15 + -15 + b = 0 + -15

Combine like terms: 15 + -15 = 0
0 + b = 0 + -15
b = 0 + -15

Combine like terms: 0 + -15 = -15
b = -15

Simplifying
b = -15
Subproblem 2
Set the factor '(2 + b)' equal to zero and attempt to solve:

Simplifying
2 + b = 0

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

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

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

Simplifying
b = -2
Solution
b = {-15, -2}