What is 7x squared+2x=0 by factoring quadratic equations?

Lets solve the quadratic equation:

7x^2 + 2x = 0

(x) (7x + 2) = 0

therefore, for this equation to hold we need, either one of these conditions:

x = 0

or

7x + 2 = 0

from where:

7x = - 2

x = - 2/7

then, we have two solutions for the equation as expected being quadratic.