72=(x+2)(y+6)

Solution for 72=(x+2)(y+6) equation:

Simplifying
72 = (x + 2)(y + 6)

Reorder the terms:
72 = (2 + x)(y + 6)

Reorder the terms:
72 = (2 + x)(6 + y)

Multiply (2 + x) * (6 + y)
72 = (2(6 + y) + x(6 + y))
72 = ((6 * 2 + y * 2) + x(6 + y))
72 = ((12 + 2y) + x(6 + y))
72 = (12 + 2y + (6 * x + y * x))
72 = (12 + 2y + (6x + xy))

Reorder the terms:
72 = (12 + 6x + xy + 2y)
72 = (12 + 6x + xy + 2y)

Solving
72 = 12 + 6x + xy + 2y

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
72 + -6x = 12 + 6x + xy + -6x + 2y

Reorder the terms:
72 + -6x = 12 + 6x + -6x + xy + 2y

Combine like terms: 6x + -6x = 0
72 + -6x = 12 + 0 + xy + 2y
72 + -6x = 12 + xy + 2y

Add '-1xy' to each side of the equation.
72 + -6x + -1xy = 12 + xy + -1xy + 2y

Combine like terms: xy + -1xy = 0
72 + -6x + -1xy = 12 + 0 + 2y
72 + -6x + -1xy = 12 + 2y

Add '-72' to each side of the equation.
72 + -6x + -72 + -1xy = 12 + -72 + 2y

Reorder the terms:
72 + -72 + -6x + -1xy = 12 + -72 + 2y

Combine like terms: 72 + -72 = 0
0 + -6x + -1xy = 12 + -72 + 2y
-6x + -1xy = 12 + -72 + 2y

Combine like terms: 12 + -72 = -60
-6x + -1xy = -60 + 2y

Reorder the terms:
60 + -6x + -1xy + -2y = -60 + 2y + 60 + -2y

Reorder the terms:
60 + -6x + -1xy + -2y = -60 + 60 + 2y + -2y

Combine like terms: -60 + 60 = 0
60 + -6x + -1xy + -2y = 0 + 2y + -2y
60 + -6x + -1xy + -2y = 2y + -2y

Combine like terms: 2y + -2y = 0
60 + -6x + -1xy + -2y = 0

The solution to this equation could not be determined.