Math

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I need help with how to do these problems..

SOLVE THE EQUATION USING THE ZERO PRODUCT PROPERTY

-8n(5n+3)=0

SOLVE THE EQUATION BY COMPLETING THE SQUARE.. ROUND TO THE HEAREST HUNDRETHS

X^2-3x=4

4x^2+4x-24=0

Thank you... I don't get how to do these please explain. Thank you very much!

  • Math -

    1.

    -8n(5n+3)=0
    set each factor equal to zero, then solve to get
    n = 0 or n = -3/5

    2.

    x^2-3x=4
    x^2 - 3x + 9/4 = 4 + 9/4
    (x-3/2)^2 = 25/4

    x-3/2 = ± 5/2
    x = 4 or x = -1

    3. divide each term by 4 to get

    x^2 + x = 6
    x^2 + x + 1/4 = 6 + 1/4
    (x+1/2)^2 = 25/4
    x + 1/2 = ±5/2
    x = 2 or x = -3

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