If you had a calculator, this question would be very easy. As is, you'll have to do a bit more work.

Even though the question doesn't explicitly ask you to approximate, it's a good idea to do so. First, plug in the value of x:
0.5(1.4)^2 – 1.4(1.4) – 0.7

Note that twice, you'll multiply 1.4 by itself. That should ring a bell: 1.4 is approximately the square root of 2, so 1.4 multiplied by itself is approximately 2. That simplifies things quite a bit:
0.5(2) – 2 – 0.7
= 1 – 2 – 0.7
= -1.7

We did approximate a bit, but only slightly, and only one choice is very close to -1.7. That's (E), which is correct.