96=b^2+10b

Solution for 96=b^2+10b equation:

Simplifying
96 = b2 + 10b

Reorder the terms:
96 = 10b + b2

Solving
96 = 10b + b2

Solving for variable 'b'.

Reorder the terms:
96 + -10b + -1b2 = 10b + -10b + b2 + -1b2

Combine like terms: 10b + -10b = 0
96 + -10b + -1b2 = 0 + b2 + -1b2
96 + -10b + -1b2 = b2 + -1b2

Combine like terms: b2 + -1b2 = 0
96 + -10b + -1b2 = 0

Factor a trinomial.
(6 + -1b)(16 + 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 '(16 + b)' equal to zero and attempt to solve:

Simplifying
16 + b = 0

Solving
16 + b = 0

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

Add '-16' to each side of the equation.
16 + -16 + b = 0 + -16

Combine like terms: 16 + -16 = 0
0 + b = 0 + -16
b = 0 + -16

Combine like terms: 0 + -16 = -16
b = -16

Simplifying
b = -16
Solution
b = {6, -16}