# 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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