Going to answer this in the comments because my keyboard is covering my screen :(
Answer:
Only one solution 
Step-by-step explanation:

Multiply equation
by 

Now from equation 
equation

Put the value in equation 

hence only one solution exists
.
Jsiswjoshejoienejodiwoeodiejekeieoejeoejekeeopejejeoejekeneksosnwosneoejenekepejeneeneojejeneneoeoenejekeoenendndkekjeejennejeoeenenjejeoekenebrbrebheieowosmsnenrnhrjejeoeowksksndnrnrjrjejkeowksk
That trinomial can't be factored. You would have to complete the square to factor it and even then your answer would be an imaginary number.
x² + x + 12 = 0
x² + x = - 12
x² + x + 1/4 = - 12 + 1/4
x² + x + 1/4 = - 11 3/4
x² + x + 1/4 = - 47/4
(x + 1/2)² = - 47/4
x + 1/2 = +/- √(- 47/4)
x + 1/2 = +/-

x = 1/2 +/-

If the constant was a negative, it would be factor-able (is that a word?).
Answer:
a
Step-by-step explanation: