Are you sure "solve" is the right word?

You've a quantity. It is called 'x'.

"Twice x" is 2x

"Three less than twice x" is 2x-3

"The quantity three times x" is 3x

"Two more than the quantity three times x" is 3x+2

(2x-3)(3x+2) = ???

RIGHT AWAY, notice that this leads to +6x^2. Discard Choice A.

Next, the constant term must be -6. Discard Choices B & C.

You tell me how to decide between D and E.