SOLUTION: Find all solutions of the following equation x^12/5 +5 x^7/5 +6 x^2/5 = 0

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Question 73774:
Find all solutions of the following equation
x^12/5 +5 x^7/5 +6 x^2/5 = 0
Answer by psbhowmick(878) About Me  (Show Source):
You can put this solution on YOUR website!
x%5E%2812%2F5%29+%2B+5x%5E%287%2F5%29+%2B+6x%5E%282%2F5%29+=+0
x%5E%282%2F5%29%28x%5E2+%2B+5x+%2B+6%29+=+0

As product of two quantities = 0, so at least one is zero.
Either %28x%5E2+%2B+5x+%2B+6%29+=+0 or x%5E%282%2F5%29=+0
i.e. %28x%2B2%29%28x%2B3%29+=+0 or x+=+0
i.e. %28x%2B2%29=0 or %28x%2B3%29+=+0 or x+=+0
i.e. x=-2 or x=-3 or x+=+0

Thus, the full set of solutions is x = 0, -2, -3.