(12a-b)*(12a+b)=

Solution for (12a-b)*(12a+b)= equation:

Simplifying
(12a + -1b)(12a + b) = 0

Multiply (12a + -1b) * (12a + b)
(12a * (12a + b) + -1b * (12a + b)) = 0
((12a * 12a + b * 12a) + -1b * (12a + b)) = 0

Reorder the terms:
((12ab + 144a2) + -1b * (12a + b)) = 0
((12ab + 144a2) + -1b * (12a + b)) = 0
(12ab + 144a2 + (12a * -1b + b * -1b)) = 0
(12ab + 144a2 + (-12ab + -1b2)) = 0

Reorder the terms:
(12ab + -12ab + 144a2 + -1b2) = 0

Combine like terms: 12ab + -12ab = 0
(0 + 144a2 + -1b2) = 0
(144a2 + -1b2) = 0

Solving
144a2 + -1b2 = 0

Solving for variable 'a'.

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

Add 'b2' to each side of the equation.
144a2 + -1b2 + b2 = 0 + b2

Combine like terms: -1b2 + b2 = 0
144a2 + 0 = 0 + b2
144a2 = 0 + b2
Remove the zero:
144a2 = b2

Divide each side by '144'.
a2 = 0.006944444444b2

Simplifying
a2 = 0.006944444444b2

Take the square root of each side:
a = {-0.083333333b, 0.083333333b}