(x-2)*(x+3)=xy-42

Solution for (x-2)*(x+3)=xy-42 equation:

Simplifying
(x + -2)(x + 3) = xy + -42

Reorder the terms:
(-2 + x)(x + 3) = xy + -42

Reorder the terms:
(-2 + x)(3 + x) = xy + -42

Multiply (-2 + x) * (3 + x)
(-2(3 + x) + x(3 + x)) = xy + -42
((3 * -2 + x * -2) + x(3 + x)) = xy + -42
((-6 + -2x) + x(3 + x)) = xy + -42
(-6 + -2x + (3 * x + x * x)) = xy + -42
(-6 + -2x + (3x + x2)) = xy + -42

Combine like terms: -2x + 3x = 1x
(-6 + 1x + x2) = xy + -42

Reorder the terms:
-6 + 1x + x2 = -42 + xy

Solving
-6 + 1x + x2 = -42 + xy

Solving for variable 'x'.

Reorder the terms:
-6 + 42 + 1x + -1xy + x2 = -42 + xy + 42 + -1xy

Combine like terms: -6 + 42 = 36
36 + 1x + -1xy + x2 = -42 + xy + 42 + -1xy

Reorder the terms:
36 + 1x + -1xy + x2 = -42 + 42 + xy + -1xy

Combine like terms: -42 + 42 = 0
36 + 1x + -1xy + x2 = 0 + xy + -1xy
36 + 1x + -1xy + x2 = xy + -1xy

Combine like terms: xy + -1xy = 0
36 + 1x + -1xy + x2 = 0

The solution to this equation could not be determined.