SOLUTION: SOLVE: 5t^2+30t-5t^3=0

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Question 170149: SOLVE:
5t^2+30t-5t^3=0
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

5t%5E2%2B30t-5t%5E3=0 Start with the given equation


-5t%5E3%2B5t%5E2%2B30t=0 Rearrange the terms.


-5t%28t%5E2-t-6%29=0 Factor out the GCF -5t


-5t=0 or t%5E2-t-6=0 Set each factor equal to zero


t=0 Solve the first equation for "t" by dividing both sides by -5


So the first solution is t=0


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Now let's solve the second equation t%5E2-t-6=0


t%5E2-t-6=0 Start with the given equation

%28t-3%29%28t%2B2%29=0 Factor the left side (note: if you need help with factoring, check out this solver)



Now set each factor equal to zero:
t-3=0 or t%2B2=0

t=3 or t=-2 Now solve for t in each case


So next two solutions are

t=3 or t=-2



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Answer:

So the solutions are t=0, t=3 or t=-2