What are the zeros of the equation -6x(x+12)-15(x+12)=0

Finding the zeroes of a equation also means finding the solutions that x satisfy.
First, we distribute -6x to (x+12) and -15 to (x+12)
This gives us    We simplify to get 
 
Next, we can apply the we factor  
After factoring, you should get 

We set (-36x-3x) and  (5+2x) equal to 0.
-36-3x=0
-3x=36
x=-12
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5+2x=0
2x=-5
x=-5/2
Your answers are -12 and 

Can you provide the tape diagram?