Answer:
No real solutions
Explanation:
Let's solve your equation step-by-step. 
6x2+3x+24=0 
For this equation: a=6, b=3, c=24 
6x2+3x+24=0 
Step 1: Use quadratic formula with a=6, b=3, c=24. 
x= (−b±√b2−4ac) /2a 
x=( −(3)±√(3)2−4(6)(24))/ 2(6) 
x= (−3±√−567) /12