(b-10)(b+10)=0

Solution for (b-10)(b+10)=0 equation:

Simplifying
(b + -10)(b + 10) = 0

Reorder the terms:
(-10 + b)(b + 10) = 0

Reorder the terms:
(-10 + b)(10 + b) = 0

Multiply (-10 + b) * (10 + b)
(-10(10 + b) + b(10 + b)) = 0
((10 * -10 + b * -10) + b(10 + b)) = 0
((-100 + -10b) + b(10 + b)) = 0
(-100 + -10b + (10 * b + b * b)) = 0
(-100 + -10b + (10b + b2)) = 0

Combine like terms: -10b + 10b = 0
(-100 + 0 + b2) = 0
(-100 + b2) = 0

Solving
-100 + b2 = 0

Solving for variable 'b'.

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

Add '100' to each side of the equation.
-100 + 100 + b2 = 0 + 100

Combine like terms: -100 + 100 = 0
0 + b2 = 0 + 100
b2 = 0 + 100

Combine like terms: 0 + 100 = 100
b2 = 100

Simplifying
b2 = 100

Take the square root of each side:
b = {-10, 10}