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

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

Simplifying
(4 + -1b)(4 + b) = 0

Multiply (4 + -1b) * (4 + b)
(4(4 + b) + -1b * (4 + b)) = 0
((4 * 4 + b * 4) + -1b * (4 + b)) = 0
((16 + 4b) + -1b * (4 + b)) = 0
(16 + 4b + (4 * -1b + b * -1b)) = 0
(16 + 4b + (-4b + -1b2)) = 0

Combine like terms: 4b + -4b = 0
(16 + 0 + -1b2) = 0
(16 + -1b2) = 0

Solving
16 + -1b2 = 0

Solving for variable 'b'.

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

Add '-16' to each side of the equation.
16 + -16 + -1b2 = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -1b2 = 0 + -16
-1b2 = 0 + -16

Combine like terms: 0 + -16 = -16
-1b2 = -16

Divide each side by '-1'.
b2 = 16

Simplifying
b2 = 16

Take the square root of each side:
b = {-4, 4}