=12(3x+8y)(3x-8y)

Solution for =12(3x+8y)(3x-8y) equation:

Simplifying
0 = 12(3x + 8y)(3x + -8y)

Multiply (3x + 8y) * (3x + -8y)
0 = 12(3x * (3x + -8y) + 8y * (3x + -8y))
0 = 12((3x * 3x + -8y * 3x) + 8y * (3x + -8y))

Reorder the terms:
0 = 12((-24xy + 9x2) + 8y * (3x + -8y))
0 = 12((-24xy + 9x2) + 8y * (3x + -8y))
0 = 12(-24xy + 9x2 + (3x * 8y + -8y * 8y))
0 = 12(-24xy + 9x2 + (24xy + -64y2))

Reorder the terms:
0 = 12(-24xy + 24xy + 9x2 + -64y2)

Combine like terms: -24xy + 24xy = 0
0 = 12(0 + 9x2 + -64y2)
0 = 12(9x2 + -64y2)
0 = (9x2 * 12 + -64y2 * 12)
0 = (108x2 + -768y2)

Solving
0 = 108x2 + -768y2

Solving for variable 'x'.

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

Add '-108x2' to each side of the equation.
0 + -108x2 = 108x2 + -108x2 + -768y2
Remove the zero:
-108x2 = 108x2 + -108x2 + -768y2

Combine like terms: 108x2 + -108x2 = 0
-108x2 = 0 + -768y2
-108x2 = -768y2

Divide each side by '-108'.
x2 = 7.111111111y2

Simplifying
x2 = 7.111111111y2

Take the square root of each side:
x = {-2.666666667y, 2.666666667y}