(b-25)(b+24)=0

Solution for (b-25)(b+24)=0 equation:

Simplifying
(b + -25)(b + 24) = 0

Reorder the terms:
(-25 + b)(b + 24) = 0

Reorder the terms:
(-25 + b)(24 + b) = 0

Multiply (-25 + b) * (24 + b)
(-25(24 + b) + b(24 + b)) = 0
((24 * -25 + b * -25) + b(24 + b)) = 0
((-600 + -25b) + b(24 + b)) = 0
(-600 + -25b + (24 * b + b * b)) = 0
(-600 + -25b + (24b + b2)) = 0

Combine like terms: -25b + 24b = -1b
(-600 + -1b + b2) = 0

Solving
-600 + -1b + b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(-24 + -1b)(25 + -1b) = 0

Subproblem 1
Set the factor '(-24 + -1b)' equal to zero and attempt to solve:

Simplifying
-24 + -1b = 0

Solving
-24 + -1b = 0

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

Add '24' to each side of the equation.
-24 + 24 + -1b = 0 + 24

Combine like terms: -24 + 24 = 0
0 + -1b = 0 + 24
-1b = 0 + 24

Combine like terms: 0 + 24 = 24
-1b = 24

Divide each side by '-1'.
b = -24

Simplifying
b = -24
Subproblem 2
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
Solution
b = {-24, 25}