Question

What are the roots of the quadratic equation 0= 8x^2+14x ?

Answer 1

8x^2+14x=0
Take 2x as a common factor:
2x(4x+7)=0
Take 2 cases:
2x=0 or 4x+7=0
2x=0       x=0
4x+7=0       4x=-7        x=-7/4

The roots are 0 or -7/4.

Hope this helps :)