(5b-1)(5b+1)=99

Solution for (5b-1)(5b+1)=99 equation:

Simplifying
(5b + -1)(5b + 1) = 99

Reorder the terms:
(-1 + 5b)(5b + 1) = 99

Reorder the terms:
(-1 + 5b)(1 + 5b) = 99

Multiply (-1 + 5b) * (1 + 5b)
(-1(1 + 5b) + 5b * (1 + 5b)) = 99
((1 * -1 + 5b * -1) + 5b * (1 + 5b)) = 99
((-1 + -5b) + 5b * (1 + 5b)) = 99
(-1 + -5b + (1 * 5b + 5b * 5b)) = 99
(-1 + -5b + (5b + 25b2)) = 99

Combine like terms: -5b + 5b = 0
(-1 + 0 + 25b2) = 99
(-1 + 25b2) = 99

Solving
-1 + 25b2 = 99

Solving for variable 'b'.

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

Add '1' to each side of the equation.
-1 + 1 + 25b2 = 99 + 1

Combine like terms: -1 + 1 = 0
0 + 25b2 = 99 + 1
25b2 = 99 + 1

Combine like terms: 99 + 1 = 100
25b2 = 100

Divide each side by '25'.
b2 = 4

Simplifying
b2 = 4

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