(4b+6)(4b-6)=0

Solution for (4b+6)(4b-6)=0 equation:

Simplifying
(4b + 6)(4b + -6) = 0

Reorder the terms:
(6 + 4b)(4b + -6) = 0

Reorder the terms:
(6 + 4b)(-6 + 4b) = 0

Multiply (6 + 4b) * (-6 + 4b)
(6(-6 + 4b) + 4b * (-6 + 4b)) = 0
((-6 * 6 + 4b * 6) + 4b * (-6 + 4b)) = 0
((-36 + 24b) + 4b * (-6 + 4b)) = 0
(-36 + 24b + (-6 * 4b + 4b * 4b)) = 0
(-36 + 24b + (-24b + 16b2)) = 0

Combine like terms: 24b + -24b = 0
(-36 + 0 + 16b2) = 0
(-36 + 16b2) = 0

Solving
-36 + 16b2 = 0

Solving for variable 'b'.

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

Add '36' to each side of the equation.
-36 + 36 + 16b2 = 0 + 36

Combine like terms: -36 + 36 = 0
0 + 16b2 = 0 + 36
16b2 = 0 + 36

Combine like terms: 0 + 36 = 36
16b2 = 36

Divide each side by '16'.
b2 = 2.25

Simplifying
b2 = 2.25

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