(7b-1)(7b+1)=0

Solution for (7b-1)(7b+1)=0 equation:

Simplifying
(7b + -1)(7b + 1) = 0

Reorder the terms:
(-1 + 7b)(7b + 1) = 0

Reorder the terms:
(-1 + 7b)(1 + 7b) = 0

Multiply (-1 + 7b) * (1 + 7b)
(-1(1 + 7b) + 7b * (1 + 7b)) = 0
((1 * -1 + 7b * -1) + 7b * (1 + 7b)) = 0
((-1 + -7b) + 7b * (1 + 7b)) = 0
(-1 + -7b + (1 * 7b + 7b * 7b)) = 0
(-1 + -7b + (7b + 49b2)) = 0

Combine like terms: -7b + 7b = 0
(-1 + 0 + 49b2) = 0
(-1 + 49b2) = 0

Solving
-1 + 49b2 = 0

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 + 49b2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 49b2 = 0 + 1
49b2 = 0 + 1

Combine like terms: 0 + 1 = 1
49b2 = 1

Divide each side by '49'.
b2 = 0.02040816327

Simplifying
b2 = 0.02040816327

Take the square root of each side:
b = {-0.142857143, 0.142857143}