0=b^2-3b-88

Solution for 0=b^2-3b-88 equation:

Simplifying
0 = b2 + -3b + -88

Reorder the terms:
0 = -88 + -3b + b2

Solving
0 = -88 + -3b + b2

Solving for variable 'b'.

Combine like terms: 0 + 88 = 88
88 + 3b + -1b2 = -88 + -3b + b2 + 88 + 3b + -1b2

Reorder the terms:
88 + 3b + -1b2 = -88 + 88 + -3b + 3b + b2 + -1b2

Combine like terms: -88 + 88 = 0
88 + 3b + -1b2 = 0 + -3b + 3b + b2 + -1b2
88 + 3b + -1b2 = -3b + 3b + b2 + -1b2

Combine like terms: -3b + 3b = 0
88 + 3b + -1b2 = 0 + b2 + -1b2
88 + 3b + -1b2 = b2 + -1b2

Combine like terms: b2 + -1b2 = 0
88 + 3b + -1b2 = 0

Factor a trinomial.
(11 + -1b)(8 + b) = 0

Subproblem 1
Set the factor '(11 + -1b)' equal to zero and attempt to solve:

Simplifying
11 + -1b = 0

Solving
11 + -1b = 0

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

Add '-11' to each side of the equation.
11 + -11 + -1b = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -1b = 0 + -11
-1b = 0 + -11

Combine like terms: 0 + -11 = -11
-1b = -11

Divide each side by '-1'.
b = 11

Simplifying
b = 11
Subproblem 2
Set the factor '(8 + b)' equal to zero and attempt to solve:

Simplifying
8 + b = 0

Solving
8 + b = 0

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

Add '-8' to each side of the equation.
8 + -8 + b = 0 + -8

Combine like terms: 8 + -8 = 0
0 + b = 0 + -8
b = 0 + -8

Combine like terms: 0 + -8 = -8
b = -8

Simplifying
b = -8
Solution
b = {11, -8}