What happens when you get 2 extraneous answers to a real-life problem?

Question

2x²+8x=0

This is the equation for the area of a triangle.

Answer 1

2x² + 8x = 0

2x(x + 4) = 0

 

{0, -4}

 

If the solutions do not make sense with the "real-life problem" then the real-life problem does not exist.

In this case the area of the triangle is given as "0." No area, no triangle!