(5b-10)(5b+10)=0

Solution for (5b-10)(5b+10)=0 equation:

Simplifying
(5b + -10)(5b + 10) = 0

Reorder the terms:
(-10 + 5b)(5b + 10) = 0

Reorder the terms:
(-10 + 5b)(10 + 5b) = 0

Multiply (-10 + 5b) * (10 + 5b)
(-10(10 + 5b) + 5b * (10 + 5b)) = 0
((10 * -10 + 5b * -10) + 5b * (10 + 5b)) = 0
((-100 + -50b) + 5b * (10 + 5b)) = 0
(-100 + -50b + (10 * 5b + 5b * 5b)) = 0
(-100 + -50b + (50b + 25b2)) = 0

Combine like terms: -50b + 50b = 0
(-100 + 0 + 25b2) = 0
(-100 + 25b2) = 0

Solving
-100 + 25b2 = 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 + 25b2 = 0 + 100

Combine like terms: -100 + 100 = 0
0 + 25b2 = 0 + 100
25b2 = 0 + 100

Combine like terms: 0 + 100 = 100
25b2 = 100

Divide each side by '25'.
b2 = 4

Simplifying
b2 = 4

Take the square root of each side:
b = {-2, 2}