(b-4)(b+64)=0

Solution for (b-4)(b+64)=0 equation:

Simplifying
(b + -4)(b + 64) = 0

Reorder the terms:
(-4 + b)(b + 64) = 0

Reorder the terms:
(-4 + b)(64 + b) = 0

Multiply (-4 + b) * (64 + b)
(-4(64 + b) + b(64 + b)) = 0
((64 * -4 + b * -4) + b(64 + b)) = 0
((-256 + -4b) + b(64 + b)) = 0
(-256 + -4b + (64 * b + b * b)) = 0
(-256 + -4b + (64b + b2)) = 0

Combine like terms: -4b + 64b = 60b
(-256 + 60b + b2) = 0

Solving
-256 + 60b + b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(-64 + -1b)(4 + -1b) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(4 + -1b)' equal to zero and attempt to solve:

Simplifying
4 + -1b = 0

Solving
4 + -1b = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1b = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1b = 0 + -4
-1b = 0 + -4

Combine like terms: 0 + -4 = -4
-1b = -4

Divide each side by '-1'.
b = 4

Simplifying
b = 4
Solution
b = {-64, 4}