Question

Find all solutions to the equation.

sin2x + sin x = 0
@johnweldon1993

Answer 1

take out common factor
let sin x=y
so y^2 +y what's the common factor ?

Answer 2

This is \(\large sin^2(x) + sin(x) = 0\) right?
or \(\large sin(2x) + sin(x) = 0\) ?

Answer 3

no first one lol

Answer 4

Then perfect go ahead with the process @Nnesha was showing :)

Look at it as sin(x) = y so sin^2(x) = y^2

\[\large y^2 + y = 0\]

What can you factor out?

Answer 5

still troubled by this or solved it

Answer 6

troubled @xapproachesinfinity

Answer 7

so you have no idea how to factor y^2+y=0?
what is common btw y^2 and y?

Answer 8

let's us go to the basics
how can you do this a(b+c)=?
using distributive law?

Answer 9

i want you to interact with me otherwise i will just take my leave haha

Answer 10

sorry i was doing somethin away from the laptop.. but i have NO IDEA how to do this ABSOLUTELY NONE!

Answer 11

@Nnesha

Answer 12

yes?

Answer 13

ok back let's pick it up where i left it
know of distributive law?

Answer 14

nope :( im so sorry im making this hell for u wish i did :/

Answer 15

realize that is the basic math? from lower grades

Answer 16

so distributive law tells us that a(b+c)=ab+ac
the left hand side is the same are the right hand side
any doubt that it true?

Answer 17

same as*

Answer 18

well?

Answer 19

wat?

Answer 20

i said do you agree that a(b+c)=ab+ac
or against this arithmetic law? the problem here is we need to establish some sense
first before we tackle that problem of your that deals with trig

Answer 21

yes

Answer 22

so you have no problem to tell what this is gonna be bd+be=? using the same law?

Answer 23

oh well!
so it is gonna be bd+be=b(d+e) yes?

Answer 24

yes

Answer 25

now tell me what did i just do?

Answer 26

describe me what i did?

Answer 27

u factored y^2 and y

Answer 28

no just stay on what i did
that would come later! what i'm trying to do here to show you how we can accomplish the factorization for y^2+y

Answer 29

oh ok got it

Answer 30

i want you to fully understand this! so you will have further problem with such exercice!

Answer 31

so here really what i did is using the that very distributive law of arithmetic
to get from bd+be to b(d+e)

Answer 32

alright got it

Answer 33

ok let me test one more time
xy+2x=?

Answer 34

again distributive law!

Answer 35

nvm

Answer 36

this is all for the sake of you being better at this, if that's the case then
it is really fine with me
we can gave you the answer, but what is the point of doing it any way

Answer 37

give*

Answer 38

one more try
y^2 + y
let y = chocolates
exponent represents number of chocolates
how many chocolates they both people have n common ?