(5b-3)(5b+3)=0

Solution for (5b-3)(5b+3)=0 equation:

Simplifying
(5b + -3)(5b + 3) = 0

Reorder the terms:
(-3 + 5b)(5b + 3) = 0

Reorder the terms:
(-3 + 5b)(3 + 5b) = 0

Multiply (-3 + 5b) * (3 + 5b)
(-3(3 + 5b) + 5b * (3 + 5b)) = 0
((3 * -3 + 5b * -3) + 5b * (3 + 5b)) = 0
((-9 + -15b) + 5b * (3 + 5b)) = 0
(-9 + -15b + (3 * 5b + 5b * 5b)) = 0
(-9 + -15b + (15b + 25b2)) = 0

Combine like terms: -15b + 15b = 0
(-9 + 0 + 25b2) = 0
(-9 + 25b2) = 0

Solving
-9 + 25b2 = 0

Solving for variable 'b'.

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

Add '9' to each side of the equation.
-9 + 9 + 25b2 = 0 + 9

Combine like terms: -9 + 9 = 0
0 + 25b2 = 0 + 9
25b2 = 0 + 9

Combine like terms: 0 + 9 = 9
25b2 = 9

Divide each side by '25'.
b2 = 0.36

Simplifying
b2 = 0.36

Take the square root of each side:
b = {-0.6, 0.6}