100b-b^2=196

Solution for 100b-b^2=196 equation:

Simplifying
100b + -1b2 = 196

Solving
100b + -1b2 = 196

Solving for variable 'b'.

Reorder the terms:
-196 + 100b + -1b2 = 196 + -196

Combine like terms: 196 + -196 = 0
-196 + 100b + -1b2 = 0

Factor a trinomial.
(-98 + b)(2 + -1b) = 0

Subproblem 1
Set the factor '(-98 + b)' equal to zero and attempt to solve:

Simplifying
-98 + b = 0

Solving
-98 + b = 0

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

Add '98' to each side of the equation.
-98 + 98 + b = 0 + 98

Combine like terms: -98 + 98 = 0
0 + b = 0 + 98
b = 0 + 98

Combine like terms: 0 + 98 = 98
b = 98

Simplifying
b = 98
Subproblem 2
Set the factor '(2 + -1b)' equal to zero and attempt to solve:

Simplifying
2 + -1b = 0

Solving
2 + -1b = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1b = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1b = 0 + -2
-1b = 0 + -2

Combine like terms: 0 + -2 = -2
-1b = -2

Divide each side by '-1'.
b = 2

Simplifying
b = 2
Solution
b = {98, 2}