The answer is no real solution
Step-by-step explanation:
Let's solve your equation step-by-step.
3x2=−12x−15
Step 1: Subtract -12x-15 from both sides.
3x2−(−12x−15)=−12x−15−(−12x−15)
3x2+12x+15=0
Step 2: Use quadratic formula with a=3, b=12, c=15.
x=
−b±√b2−4ac
2a
x=
−(12)±√(12)2−4(3)(15)
2(3)
x=
−12±√−36
6