72=b^2+6b

Solution for 72=b^2+6b equation:

Simplifying
72 = b2 + 6b

Reorder the terms:
72 = 6b + b2

Solving
72 = 6b + b2

Solving for variable 'b'.

Reorder the terms:
72 + -6b + -1b2 = 6b + -6b + b2 + -1b2

Combine like terms: 6b + -6b = 0
72 + -6b + -1b2 = 0 + b2 + -1b2
72 + -6b + -1b2 = b2 + -1b2

Combine like terms: b2 + -1b2 = 0
72 + -6b + -1b2 = 0

Factor a trinomial.
(6 + -1b)(12 + b) = 0

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

Simplifying
6 + -1b = 0

Solving
6 + -1b = 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 + -1b = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1b = 0 + -6
-1b = 0 + -6

Combine like terms: 0 + -6 = -6
-1b = -6

Divide each side by '-1'.
b = 6

Simplifying
b = 6
Subproblem 2
Set the factor '(12 + b)' equal to zero and attempt to solve:

Simplifying
12 + b = 0

Solving
12 + b = 0

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

Add '-12' to each side of the equation.
12 + -12 + b = 0 + -12

Combine like terms: 12 + -12 = 0
0 + b = 0 + -12
b = 0 + -12

Combine like terms: 0 + -12 = -12
b = -12

Simplifying
b = -12
Solution
b = {6, -12}