434,256 views
26 votes
26 votes
What's the answer for 6m^2+18m+17=-3m^2+9

User Energy
by
2.7k points

1 Answer

21 votes
21 votes

Answer:

m=−2/3 or m=−4/3

Explanation:

Step 1: Subtract -3m^2+9 from both sides.

6m^2+18m+17−(−3m^2+9)=−3m^2+9−(−3m^2+9)

9m^2+18m+8=0

Step 2: Factor left side of the equation.

(3m+2)(3m+4)=0

Step 3: Set factors equal to 0.

3m+2=0 or 3m+4=0

m=−2/3 or m=−4/3

User Andreass
by
2.7k points