=b^2+13b+30

Solution for =b^2+13b+30 equation:

Simplifying
0 = b2 + 13b + 30

Reorder the terms:
0 = 30 + 13b + b2

Solving
0 = 30 + 13b + b2

Solving for variable 'b'.

Combine like terms: 0 + -30 = -30
-30 + -13b + -1b2 = 30 + 13b + b2 + -30 + -13b + -1b2

Reorder the terms:
-30 + -13b + -1b2 = 30 + -30 + 13b + -13b + b2 + -1b2

Combine like terms: 30 + -30 = 0
-30 + -13b + -1b2 = 0 + 13b + -13b + b2 + -1b2
-30 + -13b + -1b2 = 13b + -13b + b2 + -1b2

Combine like terms: 13b + -13b = 0
-30 + -13b + -1b2 = 0 + b2 + -1b2
-30 + -13b + -1b2 = b2 + -1b2

Combine like terms: b2 + -1b2 = 0
-30 + -13b + -1b2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(30 + 13b + b2) = 0

Factor a trinomial.
-1((10 + b)(3 + b)) = 0

Ignore the factor -1.
Subproblem 1
Set the factor '(10 + b)' equal to zero and attempt to solve:

Simplifying
10 + b = 0

Solving
10 + b = 0

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

Add '-10' to each side of the equation.
10 + -10 + b = 0 + -10

Combine like terms: 10 + -10 = 0
0 + b = 0 + -10
b = 0 + -10

Combine like terms: 0 + -10 = -10
b = -10

Simplifying
b = -10
Subproblem 2
Set the factor '(3 + b)' equal to zero and attempt to solve:

Simplifying
3 + b = 0

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

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

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

Simplifying
b = -3
Solution
b = {-10, -3}