(b-25)(b-64)=0

Solution for (b-25)(b-64)=0 equation:

Simplifying
(b + -25)(b + -64) = 0

Reorder the terms:
(-25 + b)(b + -64) = 0

Reorder the terms:
(-25 + b)(-64 + b) = 0

Multiply (-25 + b) * (-64 + b)
(-25(-64 + b) + b(-64 + b)) = 0
((-64 * -25 + b * -25) + b(-64 + b)) = 0
((1600 + -25b) + b(-64 + b)) = 0
(1600 + -25b + (-64 * b + b * b)) = 0
(1600 + -25b + (-64b + b2)) = 0

Combine like terms: -25b + -64b = -89b
(1600 + -89b + b2) = 0

Solving
1600 + -89b + b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(25 + -1b)(64 + -1b) = 0

Subproblem 1
Set the factor '(25 + -1b)' equal to zero and attempt to solve:

Simplifying
25 + -1b = 0

Solving
25 + -1b = 0

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

Add '-25' to each side of the equation.
25 + -25 + -1b = 0 + -25

Combine like terms: 25 + -25 = 0
0 + -1b = 0 + -25
-1b = 0 + -25

Combine like terms: 0 + -25 = -25
-1b = -25

Divide each side by '-1'.
b = 25

Simplifying
b = 25
Subproblem 2
Set the factor '(64 + -1b)' equal to zero and attempt to solve:

Simplifying
64 + -1b = 0

Solving
64 + -1b = 0

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

Add '-64' to each side of the equation.
64 + -64 + -1b = 0 + -64

Combine like terms: 64 + -64 = 0
0 + -1b = 0 + -64
-1b = 0 + -64

Combine like terms: 0 + -64 = -64
-1b = -64

Divide each side by '-1'.
b = 64

Simplifying
b = 64
Solution
b = {25, 64}