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(x+4)*(y-7)=0 equation

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Numerical solution:

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The solution

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(x + 4)*(y - 7) = 0
$$\left(x + 4\right) \left(y - 7\right) = 0$$
Detail solution
Given the equation:
(x+4)*(y-7) = 0

Expand expressions:
-28 - 7*x + 4*y + x*y = 0

Reducing, you get:
-28 - 7*x + 4*y + x*y = 0

Move free summands (without x)
from left part to right part, we given:
$$x y - 7 x + 4 y = 28$$
Move the summands with the other variables
from left part to right part, we given:
$$x y + \left(-7\right) x = \left(-4\right) y + 28$$
Divide both parts of the equation by (-7*x + x*y)/x
x = 28 - 4*y / ((-7*x + x*y)/x)

We get the answer: x = -4
The graph
Rapid solution [src]
x1 = -4
$$x_{1} = -4$$
x1 = -4
Sum and product of roots [src]
sum
-4
$$-4$$
=
-4
$$-4$$
product
-4
$$-4$$
=
-4
$$-4$$
-4