SOLUTION: Solve each equation and show steps! x^3+x^2=0

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Question 184226: Solve each equation and show steps!
x^3+x^2=0
Found 2 solutions by jim_thompson5910, stanbon:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

x%5E3%2Bx%5E2=0 Start with the given equation

x%5E2%28x%2B1%29=0 Factor out the GCF x%5E2


Now set each factor equal to zero:

x%5E2=0 or x%2B1=0

x=0 or x=-1 Now solve for x in each case


So our answers are

x=0 or x=-1


Notice if we graph y=x%5E3%2Bx%5E2 we can see that the roots are x=0 and x=-1 . So this visually verifies our answer.


+graph%28500%2C500%2C-5%2C5%2C-5%2C5%2C0%2C+x%5E3%2Bx%5E2%29+

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Solve each equation and show steps!
x^3+x^2=0
Factor:
x^2(x+1) = 0
Since the product is zero, one of the factors must be zero.
x = 0 or x = -1
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Cheers,
Stan H.