(b-5)(b-5)=196

Solution for (b-5)(b-5)=196 equation:

Simplifying
(b + -5)(b + -5) = 196

Reorder the terms:
(-5 + b)(b + -5) = 196

Reorder the terms:
(-5 + b)(-5 + b) = 196

Multiply (-5 + b) * (-5 + b)
(-5(-5 + b) + b(-5 + b)) = 196
((-5 * -5 + b * -5) + b(-5 + b)) = 196
((25 + -5b) + b(-5 + b)) = 196
(25 + -5b + (-5 * b + b * b)) = 196
(25 + -5b + (-5b + b2)) = 196

Combine like terms: -5b + -5b = -10b
(25 + -10b + b2) = 196

Solving
25 + -10b + b2 = 196

Solving for variable 'b'.

Reorder the terms:
25 + -196 + -10b + b2 = 196 + -196

Combine like terms: 25 + -196 = -171
-171 + -10b + b2 = 196 + -196

Combine like terms: 196 + -196 = 0
-171 + -10b + b2 = 0

Factor a trinomial.
(-9 + -1b)(19 + -1b) = 0

Subproblem 1
Set the factor '(-9 + -1b)' equal to zero and attempt to solve:

Simplifying
-9 + -1b = 0

Solving
-9 + -1b = 0

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

Add '9' to each side of the equation.
-9 + 9 + -1b = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -1b = 0 + 9
-1b = 0 + 9

Combine like terms: 0 + 9 = 9
-1b = 9

Divide each side by '-1'.
b = -9

Simplifying
b = -9
Subproblem 2
Set the factor '(19 + -1b)' equal to zero and attempt to solve:

Simplifying
19 + -1b = 0

Solving
19 + -1b = 0

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

Add '-19' to each side of the equation.
19 + -19 + -1b = 0 + -19

Combine like terms: 19 + -19 = 0
0 + -1b = 0 + -19
-1b = 0 + -19

Combine like terms: 0 + -19 = -19
-1b = -19

Divide each side by '-1'.
b = 19

Simplifying
b = 19
Solution
b = {-9, 19}