(x-3)(y+6)=s+78

Solution for (x-3)(y+6)=s+78 equation:

Simplifying
(x + -3)(y + 6) = s + 78

Reorder the terms:
(-3 + x)(y + 6) = s + 78

Reorder the terms:
(-3 + x)(6 + y) = s + 78

Multiply (-3 + x) * (6 + y)
(-3(6 + y) + x(6 + y)) = s + 78
((6 * -3 + y * -3) + x(6 + y)) = s + 78
((-18 + -3y) + x(6 + y)) = s + 78
(-18 + -3y + (6 * x + y * x)) = s + 78
(-18 + -3y + (6x + xy)) = s + 78

Reorder the terms:
(-18 + 6x + xy + -3y) = s + 78
(-18 + 6x + xy + -3y) = s + 78

Reorder the terms:
-18 + 6x + xy + -3y = 78 + s

Solving
-18 + 6x + xy + -3y = 78 + s

Solving for variable 'x'.

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

Add '18' to each side of the equation.
-18 + 6x + xy + 18 + -3y = 78 + 18 + s

Reorder the terms:
-18 + 18 + 6x + xy + -3y = 78 + 18 + s

Combine like terms: -18 + 18 = 0
0 + 6x + xy + -3y = 78 + 18 + s
6x + xy + -3y = 78 + 18 + s

Combine like terms: 78 + 18 = 96
6x + xy + -3y = 96 + s

Add '3y' to each side of the equation.
6x + xy + -3y + 3y = 96 + s + 3y

Combine like terms: -3y + 3y = 0
6x + xy + 0 = 96 + s + 3y
6x + xy = 96 + s + 3y

Reorder the terms:
-96 + -1s + 6x + xy + -3y = 96 + s + 3y + -96 + -1s + -3y

Reorder the terms:
-96 + -1s + 6x + xy + -3y = 96 + -96 + s + -1s + 3y + -3y

Combine like terms: 96 + -96 = 0
-96 + -1s + 6x + xy + -3y = 0 + s + -1s + 3y + -3y
-96 + -1s + 6x + xy + -3y = s + -1s + 3y + -3y

Combine like terms: s + -1s = 0
-96 + -1s + 6x + xy + -3y = 0 + 3y + -3y
-96 + -1s + 6x + xy + -3y = 3y + -3y

Combine like terms: 3y + -3y = 0
-96 + -1s + 6x + xy + -3y = 0

The solution to this equation could not be determined.