(4b-3)(4b+3)=0

Solution for (4b-3)(4b+3)=0 equation:

Simplifying
(4b + -3)(4b + 3) = 0

Reorder the terms:
(-3 + 4b)(4b + 3) = 0

Reorder the terms:
(-3 + 4b)(3 + 4b) = 0

Multiply (-3 + 4b) * (3 + 4b)
(-3(3 + 4b) + 4b * (3 + 4b)) = 0
((3 * -3 + 4b * -3) + 4b * (3 + 4b)) = 0
((-9 + -12b) + 4b * (3 + 4b)) = 0
(-9 + -12b + (3 * 4b + 4b * 4b)) = 0
(-9 + -12b + (12b + 16b2)) = 0

Combine like terms: -12b + 12b = 0
(-9 + 0 + 16b2) = 0
(-9 + 16b2) = 0

Solving
-9 + 16b2 = 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 + 16b2 = 0 + 9

Combine like terms: -9 + 9 = 0
0 + 16b2 = 0 + 9
16b2 = 0 + 9

Combine like terms: 0 + 9 = 9
16b2 = 9

Divide each side by '16'.
b2 = 0.5625

Simplifying
b2 = 0.5625

Take the square root of each side:
b = {-0.75, 0.75}