Step-by-step explanation:

2x²-3x-14=0

(2x²-3x-14=0) 1/2

x²-3/2x-7=0

Find the factors of -7 that will satisfy the middle term if you add the factors.

The factors would be -2 and 7/2 .

(x+2)(x-7/2)=0

x=-2 and x=7/2 or 3 1/2

In finding the solution set,

(consider the picture)

Thus, the solution sets is ( ♾️, -3] U [4, - ♾️) .