SOLUTION: {{{12m^3-8m^2-15m}}} How do I factor this

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Question 66274: 12m%5E3-8m%5E2-15m
How do I factor this
Found 2 solutions by checkley71, Earlsdon:
Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
12M^3-8M^2-15M=0
M(12M^2-8M-15)=0
M(6M+5)(2M-3)=0
M=0 SOLUTION
6M+5=0
6M=-5
M=-5/6 SOLUTION
2M-3=0
2M=3
M=3/2
M=1.5 SOLUTION

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Factor:
12m%5E3-8m%5E2-15m First, factor out an m.
m%2812m%5E2-8m-15%29 Now you need to try to factor the parentheses.
12m%5E2-8m-15
Find the factors of 12.
1X12 = 12
2X6 = 12
3X4 = 12
Now factor the -15.
1X(-15) or (-1)X15 = -15
3X(-5) or (-3)X5 = -15
Let's try:
%2812m+%2B+1%29%28m+-+15%29+=+12m%5E2+-+180m+%2B+m+-+15 Nope!
%282m+%2B+3%29%286m+-+5%29+=+12m%5E2+-10m+%2B+18m+-+15 = 12m%5E2+%2B+8m+-+15 Almost there! Lets switch the signs around.
2m+-+3%29%286m+%2B+5%29+=+12m%5E2+%2B+10m+-+18m+-+15 = 12m%5E2+-+8m+-+15 That's it!..So, putting it all together:
12m%5E3+-+8m%5E2+-+15m+=+m%282m+-+3%29%286m+%2B+5%29