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Mathematics 8 Online
artlover03:

solve for v

artlover03:

\[5v^2+15v=0\]

artlover03:

@jhonyy9

artlover03:

Are you able to like explain this? I have multiple questions just like this

hhanan:

are there any options

jhonyy9:

what are common factor - what can factorize out from every two terms ?

artlover03:

5

jhonyy9:

just 5 ? no

artlover03:

5v*

jhonyy9:

there is again yes exactly - so what will get than you factorize out the 5v ?

artlover03:

5v(v+3)?

jhonyy9:

yes so 5v(v+3) = 0 solve it for v

artlover03:

It asks if it has multiple answers, use a comma and if there is no answer use "nosolution"... is just one answer?

jhonyy9:

this expression of 5v(v +3) when will be equal zero ? when one of these terms is equal zero - so take them one by one equal zero and solve it for v .

jhonyy9:

ok ?

artlover03:

Okay i get you but what do you mean by "take them one by one"....? sorry im slow

jhonyy9:

there are two terms - so this expression will be equal zero if one term from these two is equal zero so in this case we make first 5v = 0 v = 0 and the second term what will be ?

artlover03:

3?

jhonyy9:

5v(v +3) = 0

jhonyy9:

5v = 0 v = 0 the second term is v +3 = 0 v = ?

artlover03:

-3

jhonyy9:

not 3 yes of cors - 3

jhonyy9:

v = -3

jhonyy9:

bc. this is a quadratic equation so has two roots ok ?

artlover03:

Okay okay i see what you mean by terms but to clerify, basically any terms =0 then thats the (multiple) answers? Like i know everything up until the terms but it sounds right in my head now

jhonyy9:

yes - when there is factorized an equation so you need to take every term equal zero and solve them for this variable

jhonyy9:

\(\color{#0cbb34}{\text{Originally Posted by}}\) @jhonyy9 yes - when there is factorized an equation so you need to take every term i mean every factor - equal zero and solve them for this variable \(\color{#0cbb34}{\text{End of Quote}}\)

jhonyy9:

ok ?

artlover03:

I gotchu! Thank you!!!!!

jhonyy9:

anytime - i m glad to give help

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