Find all of the solutions in interval (0, 2π)
2sin ²x = sinx
(Also, I'm still not very clear on what an interval is, mind explaining that as well as how to solve this please?)

Question

Find all of the solutions in interval (0, 2π)
2sin ²x = sinx 
(Also, I'm still not very clear on what an interval is, mind explaining that as well as how to solve this please?)

anonymous · Answer

it means between x=0 and x=$\large 2 \pi $, how many times does 2$sin^2x $ and sinx cross each other.

solve this like you would solve this algebra problem: $\large 2x^2=x $, how would you solve this?

freckles · Answer

An interval is a set of numbers.  For example the interval (0,1] means absolutely all real numbers between 0 and 1 including 1. Example, .055555423 is in that set.  So is and irrational number like sqrt(. 5)or even. 5 is in that set.  There are in an infinite amount of numbers between 0 and 1.

anonymous · Answer

$$2x ^{2} = x$$
$$x ^{2} =  \frac{ x }{ 2 }$$

anonymous · Answer

ahhhh...I'm not too sure

freckles · Answer

2x^2-x=0
You should be able to take it from here

anonymous · Answer

something that adds up to 0 but multiplies to -2 with a factors/sum of factors chart, right?
i'm at a stump there, give me another minute to figure it out please

anonymous · Answer

I'm at a brain fart

freckles · Answer

Do you know how to factor?