85b-b*b=1776

Solution for 85b-b*b=1776 equation:

Simplifying
85b + -1b * b = 1776

Multiply b * b
85b + -1b2 = 1776

Solving
85b + -1b2 = 1776

Solving for variable 'b'.

Reorder the terms:
-1776 + 85b + -1b2 = 1776 + -1776

Combine like terms: 1776 + -1776 = 0
-1776 + 85b + -1b2 = 0

Factor a trinomial.
(-48 + b)(37 + -1b) = 0

Subproblem 1
Set the factor '(-48 + b)' equal to zero and attempt to solve:

Simplifying
-48 + b = 0

Solving
-48 + b = 0

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

Add '48' to each side of the equation.
-48 + 48 + b = 0 + 48

Combine like terms: -48 + 48 = 0
0 + b = 0 + 48
b = 0 + 48

Combine like terms: 0 + 48 = 48
b = 48

Simplifying
b = 48
Subproblem 2
Set the factor '(37 + -1b)' equal to zero and attempt to solve:

Simplifying
37 + -1b = 0

Solving
37 + -1b = 0

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

Add '-37' to each side of the equation.
37 + -37 + -1b = 0 + -37

Combine like terms: 37 + -37 = 0
0 + -1b = 0 + -37
-1b = 0 + -37

Combine like terms: 0 + -37 = -37
-1b = -37

Divide each side by '-1'.
b = 37

Simplifying
b = 37
Solution
b = {48, 37}