b^2+20b-1269=0

Solution for b^2+20b-1269=0 equation:

Simplifying
b2 + 20b + -1269 = 0

Reorder the terms:
-1269 + 20b + b2 = 0

Solving
-1269 + 20b + b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(-47 + -1b)(27 + -1b) = 0

Subproblem 1
Set the factor '(-47 + -1b)' equal to zero and attempt to solve:

Simplifying
-47 + -1b = 0

Solving
-47 + -1b = 0

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

Add '47' to each side of the equation.
-47 + 47 + -1b = 0 + 47

Combine like terms: -47 + 47 = 0
0 + -1b = 0 + 47
-1b = 0 + 47

Combine like terms: 0 + 47 = 47
-1b = 47

Divide each side by '-1'.
b = -47

Simplifying
b = -47
Subproblem 2
Set the factor '(27 + -1b)' equal to zero and attempt to solve:

Simplifying
27 + -1b = 0

Solving
27 + -1b = 0

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

Add '-27' to each side of the equation.
27 + -27 + -1b = 0 + -27

Combine like terms: 27 + -27 = 0
0 + -1b = 0 + -27
-1b = 0 + -27

Combine like terms: 0 + -27 = -27
-1b = -27

Divide each side by '-1'.
b = 27

Simplifying
b = 27
Solution
b = {-47, 27}