SOLUTION: x^32x^2-36x-72=0

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Question 153127: x^32x^2-36x-72=0
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

I'm assuming that the equation should look like this: x%5E3%2B2x%5E2-36x-72=0


x%5E3%2B2x%5E2-36x-72=0 Start with the given expression


%28x%5E3%2B2x%5E2%29%2B%28-36x-72%29=0 Group like terms


x%5E2%28x%2B2%29-36%28x%2B2%29=0 Factor out the GCF x%5E2 out of the first group. Factor out the GCF -36 out of the second group


%28x%5E2-36%29%28x%2B2%29=0 Since we have the common term x%2B2, we can combine like terms


%28x%2B6%29%28x-6%29%28x%2B2%29=0 Factor x%5E2-36 to get %28x%2B6%29%28x-6%29


Now set each factor equal to zero:

x%2B6=0, x-6=0 or x%2B2=0


Now solve for x for each factor:


x=-6, x=6 or x=-2


So the solutions are x=-6, x=6 or x=-2