(ax-B)2-(ax+B)2=24x

Solution for (ax-B)2-(ax+B)2=24x equation:

Simplifying
(ax + -1B) * 2 + -1(ax + B) * 2 = 24x

Reorder the terms:
(-1B + ax) * 2 + -1(ax + B) * 2 = 24x

Reorder the terms for easier multiplication:
2(-1B + ax) + -1(ax + B) * 2 = 24x
(-1B * 2 + ax * 2) + -1(ax + B) * 2 = 24x
(-2B + 2ax) + -1(ax + B) * 2 = 24x

Reorder the terms:
-2B + 2ax + -1(B + ax) * 2 = 24x

Reorder the terms for easier multiplication:
-2B + 2ax + -1 * 2(B + ax) = 24x

Multiply -1 * 2
-2B + 2ax + -2(B + ax) = 24x
-2B + 2ax + (B * -2 + ax * -2) = 24x
-2B + 2ax + (-2B + -2ax) = 24x

Reorder the terms:
-2B + -2B + 2ax + -2ax = 24x

Combine like terms: -2B + -2B = -4B
-4B + 2ax + -2ax = 24x

Combine like terms: 2ax + -2ax = 0
-4B + 0 = 24x
-4B = 24x

Solving
-4B = 24x

Solving for variable 'B'.

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

Divide each side by '-4'.
B = -6x

Simplifying
B = -6x