b^2+60b-1600=0

Solution for b^2+60b-1600=0 equation:

Simplifying
b2 + 60b + -1600 = 0

Reorder the terms:
-1600 + 60b + b2 = 0

Solving
-1600 + 60b + b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(-80 + -1b)(20 + -1b) = 0

Subproblem 1
Set the factor '(-80 + -1b)' equal to zero and attempt to solve:

Simplifying
-80 + -1b = 0

Solving
-80 + -1b = 0

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

Add '80' to each side of the equation.
-80 + 80 + -1b = 0 + 80

Combine like terms: -80 + 80 = 0
0 + -1b = 0 + 80
-1b = 0 + 80

Combine like terms: 0 + 80 = 80
-1b = 80

Divide each side by '-1'.
b = -80

Simplifying
b = -80
Subproblem 2
Set the factor '(20 + -1b)' equal to zero and attempt to solve:

Simplifying
20 + -1b = 0

Solving
20 + -1b = 0

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

Add '-20' to each side of the equation.
20 + -20 + -1b = 0 + -20

Combine like terms: 20 + -20 = 0
0 + -1b = 0 + -20
-1b = 0 + -20

Combine like terms: 0 + -20 = -20
-1b = -20

Divide each side by '-1'.
b = 20

Simplifying
b = 20
Solution
b = {-80, 20}