(x-7)(y+6)=0

Solution for (x-7)(y+6)=0 equation:

Simplifying
(x + -7)(y + 6) = 0

Reorder the terms:
(-7 + x)(y + 6) = 0

Reorder the terms:
(-7 + x)(6 + y) = 0

Multiply (-7 + x) * (6 + y)
(-7(6 + y) + x(6 + y)) = 0
((6 * -7 + y * -7) + x(6 + y)) = 0
((-42 + -7y) + x(6 + y)) = 0
(-42 + -7y + (6 * x + y * x)) = 0
(-42 + -7y + (6x + xy)) = 0

Reorder the terms:
(-42 + 6x + xy + -7y) = 0
(-42 + 6x + xy + -7y) = 0

Solving
-42 + 6x + xy + -7y = 0

Solving for variable 'x'.

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

Add '42' to each side of the equation.
-42 + 6x + xy + 42 + -7y = 0 + 42

Reorder the terms:
-42 + 42 + 6x + xy + -7y = 0 + 42

Combine like terms: -42 + 42 = 0
0 + 6x + xy + -7y = 0 + 42
6x + xy + -7y = 0 + 42

Combine like terms: 0 + 42 = 42
6x + xy + -7y = 42

Add '7y' to each side of the equation.
6x + xy + -7y + 7y = 42 + 7y

Combine like terms: -7y + 7y = 0
6x + xy + 0 = 42 + 7y
6x + xy = 42 + 7y

Reorder the terms:
-42 + 6x + xy + -7y = 42 + 7y + -42 + -7y

Reorder the terms:
-42 + 6x + xy + -7y = 42 + -42 + 7y + -7y

Combine like terms: 42 + -42 = 0
-42 + 6x + xy + -7y = 0 + 7y + -7y
-42 + 6x + xy + -7y = 7y + -7y

Combine like terms: 7y + -7y = 0
-42 + 6x + xy + -7y = 0

The solution to this equation could not be determined.