(ax-12b)(ax+12b)=

Solution for (ax-12b)(ax+12b)= equation:

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

Multiply (ax + -12b) * (ax + 12b)
(ax(ax + 12b) + -12b * (ax + 12b)) = 0
((ax * ax + 12b * ax) + -12b * (ax + 12b)) = 0

Reorder the terms:
((12abx + a2x2) + -12b * (ax + 12b)) = 0
((12abx + a2x2) + -12b * (ax + 12b)) = 0
(12abx + a2x2 + (ax * -12b + 12b * -12b)) = 0
(12abx + a2x2 + (-12abx + -144b2)) = 0

Reorder the terms:
(12abx + -12abx + a2x2 + -144b2) = 0

Combine like terms: 12abx + -12abx = 0
(0 + a2x2 + -144b2) = 0
(a2x2 + -144b2) = 0

Solving
a2x2 + -144b2 = 0

Solving for variable 'a'.

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

Add '144b2' to each side of the equation.
a2x2 + -144b2 + 144b2 = 0 + 144b2

Combine like terms: -144b2 + 144b2 = 0
a2x2 + 0 = 0 + 144b2
a2x2 = 0 + 144b2
Remove the zero:
a2x2 = 144b2

Divide each side by 'x2'.
a2 = 144b2x-2

Simplifying
a2 = 144b2x-2

Take the square root of each side:
a = {-12bx-1, 12bx-1}