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

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) (Show Source): You can put this solution on YOUR website!

Start with the given equation

Factor out the GCF

Now set each factor equal to zero:

or

or Now solve for x in each case

So our answers are

or

Notice if we graph we can see that the roots are and . So this visually verifies our answer.

Answer by stanbon(75887) (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
=====================
Cheers,
Stan H.
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