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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

The solution to this equation could not be determined.