Question:

Solve each equation?

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x^3 + x^2 = 0

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5 ANSWERS


  1. x=-1 or x=0

    for anything to add together and equal 0 they have to either cancel or both b zero to begin with  


  2. x^3 + x^2 =0

    Factor out an x^2 from each expression...

    x^2(x + 1) = 0

    By the zero property...

    x^2 = 0 OR (x + 1) = 0

    Solve these for x to find...

    x = 0 OR x = -1

    (Be sure to plug these values back in to check)

  3. x^3 + x^2 = 0

    [pull out the comon factor of x^2]



    x^2(x+1) = 0

    [set each term equal zero]

    x^2=0   x+1=0

    [solve for x]

    x=0,         x=-1

  4. x=0 or x=-1

  5. factor out x^2...

    x^2(x+1) = 0

    x^2=0 OR x= -1

    x = 0 or - 1
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