-4=b^2+3b-92

Solution for -4=b^2+3b-92 equation:

Simplifying
-4 = b2 + 3b + -92

Reorder the terms:
-4 = -92 + 3b + b2

Solving
-4 = -92 + 3b + b2

Solving for variable 'b'.

Combine like terms: -4 + 92 = 88
88 + -3b + -1b2 = -92 + 3b + b2 + 92 + -3b + -1b2

Reorder the terms:
88 + -3b + -1b2 = -92 + 92 + 3b + -3b + b2 + -1b2

Combine like terms: -92 + 92 = 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.
(8 + -1b)(11 + b) = 0

Subproblem 1
Set the factor '(8 + -1b)' equal to zero and attempt to solve:

Simplifying
8 + -1b = 0

Solving
8 + -1b = 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 + -1b = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1b = 0 + -8
-1b = 0 + -8

Combine like terms: 0 + -8 = -8
-1b = -8

Divide each side by '-1'.
b = 8

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

Simplifying
11 + b = 0

Solving
11 + b = 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 + b = 0 + -11

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

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

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