(7b-12)(7b+12)=0

Solution for (7b-12)(7b+12)=0 equation:

Simplifying
(7b + -12)(7b + 12) = 0

Reorder the terms:
(-12 + 7b)(7b + 12) = 0

Reorder the terms:
(-12 + 7b)(12 + 7b) = 0

Multiply (-12 + 7b) * (12 + 7b)
(-12(12 + 7b) + 7b * (12 + 7b)) = 0
((12 * -12 + 7b * -12) + 7b * (12 + 7b)) = 0
((-144 + -84b) + 7b * (12 + 7b)) = 0
(-144 + -84b + (12 * 7b + 7b * 7b)) = 0
(-144 + -84b + (84b + 49b2)) = 0

Combine like terms: -84b + 84b = 0
(-144 + 0 + 49b2) = 0
(-144 + 49b2) = 0

Solving
-144 + 49b2 = 0

Solving for variable 'b'.

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

Add '144' to each side of the equation.
-144 + 144 + 49b2 = 0 + 144

Combine like terms: -144 + 144 = 0
0 + 49b2 = 0 + 144
49b2 = 0 + 144

Combine like terms: 0 + 144 = 144
49b2 = 144

Divide each side by '49'.
b2 = 2.93877551

Simplifying
b2 = 2.93877551

Take the square root of each side:
b = {-1.714285714, 1.714285714}