b^2+b-182=

Solution for b^2+b-182= equation:

Simplifying
b2 + b + -182 = 0

Reorder the terms:
-182 + b + b2 = 0

Solving
-182 + b + b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(-14 + -1b)(13 + -1b) = 0

Subproblem 1
Set the factor '(-14 + -1b)' equal to zero and attempt to solve:

Simplifying
-14 + -1b = 0

Solving
-14 + -1b = 0

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

Add '14' to each side of the equation.
-14 + 14 + -1b = 0 + 14

Combine like terms: -14 + 14 = 0
0 + -1b = 0 + 14
-1b = 0 + 14

Combine like terms: 0 + 14 = 14
-1b = 14

Divide each side by '-1'.
b = -14

Simplifying
b = -14
Subproblem 2
Set the factor '(13 + -1b)' equal to zero and attempt to solve:

Simplifying
13 + -1b = 0

Solving
13 + -1b = 0

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

Add '-13' to each side of the equation.
13 + -13 + -1b = 0 + -13

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

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

Divide each side by '-1'.
b = 13

Simplifying
b = 13
Solution
b = {-14, 13}