Anonymous
Anonymous asked in Science & MathematicsMathematics · 4 weeks ago

Help with solving quadratic equation?

1. 2x^2+4x = 0

2. 9w^2=-18w

Please help.. With explanation thank you. 

4 Answers

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  • 4 weeks ago
    Favorite Answer

     2x² + 4x = 0

    factor it first

    2x(x + 2) = 0

    one term or the other has to equal 0 for the product to be zero

    2x = 0

    x = 0

    x+2 = 0

    x = –2

    so the two solutions are 0, –2

    9w² = –18w

    9w² + 18w = 0

    same as above

    9w(w + 2) = 0

    w = 0, –2

  • 4 weeks ago

    Steps:

    1) Get everything on one side

    2) Factor out the greatest common factor from each term

    3) Use the zero product rule (if ab = 0, then a=0 or b=0)

    Problem 1:

    2x(x + 2) = 0

    Problem 2:

    9w(w + 2) = 0

    You can easily take it from here, right?

  • rotchm
    Lv 7
    4 weeks ago

    Hint:

    1. factor out x. What do you get?

    Unanon yourself and I will detail further.  

    Hopefully no one will spoil you the answer thereby depriving you from your personal enhancement; that would be very disrespectful of them. 

  • 4 weeks ago

    1. . 2x^2+4x = 0

    Factor out 2x

    2x(x+2) = 0

    This equation is true when either:

    a) x=0

    b) x+2= 0, or, from here, x= -2

    These are two solutions for the quadratic.

    2. 9w^2=-18w

    9w^2 + 18w = 0

    Factor out 9w

    9w(w+2) = 0

    This equation is true when either:

    a) w=0

    b) w+2= 0, or, from here, w= -2

    These are two solutions for the quadratic.

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