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.
(-5 + -1b)(255 + -1b) = 0

Subproblem 1
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
Subproblem 2
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
Solution
b = {-5, 255}