I will place 0 on the right side.
2x^2+3x+4 = 0
2 times 4 = 8.
What two numbers yield a product of 8 but when added produce a sum of 3, the middle term's coefficient?
There is no such number.
So, gotta use the quadratic formula.
I will set it up and let you do the math.
See attachment for the set up.