(2b-3)(2b+3)=

Solution for (2b-3)(2b+3)= equation:

Simplifying
(2b + -3)(2b + 3) = 0

Reorder the terms:
(-3 + 2b)(2b + 3) = 0

Reorder the terms:
(-3 + 2b)(3 + 2b) = 0

Multiply (-3 + 2b) * (3 + 2b)
(-3(3 + 2b) + 2b * (3 + 2b)) = 0
((3 * -3 + 2b * -3) + 2b * (3 + 2b)) = 0
((-9 + -6b) + 2b * (3 + 2b)) = 0
(-9 + -6b + (3 * 2b + 2b * 2b)) = 0
(-9 + -6b + (6b + 4b2)) = 0

Combine like terms: -6b + 6b = 0
(-9 + 0 + 4b2) = 0
(-9 + 4b2) = 0

Solving
-9 + 4b2 = 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 + 4b2 = 0 + 9

Combine like terms: -9 + 9 = 0
0 + 4b2 = 0 + 9
4b2 = 0 + 9

Combine like terms: 0 + 9 = 9
4b2 = 9

Divide each side by '4'.
b2 = 2.25

Simplifying
b2 = 2.25

Take the square root of each side:
b = {-1.5, 1.5}