Question

dealing with the zero-product property..

Answer 1

apply the zero-product property to solve the following equations:

Answer 2

\[x(2x+5)=0\]

Answer 3

\[5(x-1)(x+4)(2x-3)=0\]

Answer 4

they're both different problems btw

Answer 5

If x(2x+5)=0

then either x = 0 or 2x+5 = 0

Answer 6

solve 2x+5 = 0 for x to get


2x+5 = 0

2x+5-5 = 0-5

2x = -5

2x/2 = -5/2

x = -5/2

Answer 7

So if x(2x+5)=0, then x = 0 or x = -5/2

Answer 8

5(x-1)(x+4)(2x-3)=0

breaks up into

x-1=0 or x+4=0 or 2x-3=0

solve each equation for x to get your three solutions

Answer 9

so then the two answer choices will be x=0 and x=-5/2 correct?

Answer 10

for x(2x+5)=0, yes

Answer 11

@jim_thompson5910 is is x=1 x=-4 and x=3/2 ?

Answer 12

for 5(x-1)(x+4)(2x-3)=0 , yep

Answer 13

thank you @jim_thompson5910