b^2+250b=1275

Solution for b^2+250b=1275 equation:

Simplifying
b2 + 250b = 1275

Reorder the terms:
250b + b2 = 1275

Solving
250b + b2 = 1275

Solving for variable 'b'.

Reorder the terms:
-1275 + 250b + b2 = 1275 + -1275

Combine like terms: 1275 + -1275 = 0
-1275 + 250b + b2 = 0

Factor a trinomial.
(-255 + -1b)(5 + -1b) = 0

Subproblem 1
Set the factor '(-255 + -1b)' equal to zero and attempt to solve:

Simplifying
-255 + -1b = 0

Solving
-255 + -1b = 0

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

Add '255' to each side of the equation.
-255 + 255 + -1b = 0 + 255

Combine like terms: -255 + 255 = 0
0 + -1b = 0 + 255
-1b = 0 + 255

Combine like terms: 0 + 255 = 255
-1b = 255

Divide each side by '-1'.
b = -255

Simplifying
b = -255
Subproblem 2
Set the factor '(5 + -1b)' equal to zero and attempt to solve:

Simplifying
5 + -1b = 0

Solving
5 + -1b = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1b = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1b = 0 + -5
-1b = 0 + -5

Combine like terms: 0 + -5 = -5
-1b = -5

Divide each side by '-1'.
b = 5

Simplifying
b = 5
Solution
b = {-255, 5}