b^2+6b=216

Solution for b^2+6b=216 equation:

Simplifying
b2 + 6b = 216

Reorder the terms:
6b + b2 = 216

Solving
6b + b2 = 216

Solving for variable 'b'.

Reorder the terms:
-216 + 6b + b2 = 216 + -216

Combine like terms: 216 + -216 = 0
-216 + 6b + b2 = 0

Factor a trinomial.
(-18 + -1b)(12 + -1b) = 0

Subproblem 1
Set the factor '(-18 + -1b)' equal to zero and attempt to solve:

Simplifying
-18 + -1b = 0

Solving
-18 + -1b = 0

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

Add '18' to each side of the equation.
-18 + 18 + -1b = 0 + 18

Combine like terms: -18 + 18 = 0
0 + -1b = 0 + 18
-1b = 0 + 18

Combine like terms: 0 + 18 = 18
-1b = 18

Divide each side by '-1'.
b = -18

Simplifying
b = -18
Subproblem 2
Set the factor '(12 + -1b)' equal to zero and attempt to solve:

Simplifying
12 + -1b = 0

Solving
12 + -1b = 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 + -1b = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -1b = 0 + -12
-1b = 0 + -12

Combine like terms: 0 + -12 = -12
-1b = -12

Divide each side by '-1'.
b = 12

Simplifying
b = 12
Solution
b = {-18, 12}