Question

I'm not very good with decimals. can someone help me solve by factoring? (0.3x-0.1)(0.05x+1)=0
I don't want just the answer but if it can be explained step by step please

Answer 1

Should I start from here :(0.3x-0.1)(0.05x+1)=0 ?

Answer 2

I think im suppose to solve for both X's

Answer 3

Okay, the first thing you need to know is that no matter what times 0, it gives 0 as a result. Got this part?

Answer 4

the first x = one third, the second x = negative twenty

Answer 5

yes

Answer 6

So, you've got 2 factors now. (0.3x-0.1) and (0.05x+1). Multiplying both of them, it gives 0. So, either one of them is 0. Understand?

Answer 7

yes

Answer 8

Then, put it as a equation
Either (0.3x-0.1) = 0 or (0.05x+1)=0
Understand?

Answer 9

yes

Answer 10

how do i get rid of the decimals?

Answer 11

Now, you can solve the equations respectively.
(0.3x-0.1) = 0
0.3 x =0.1 <- understand this step?

Answer 12

yes

Answer 13

thats about as far as i got and i did similar with the other equation too but im stuck at the decimals

Answer 14

Now, you need you know that 0.1 = 1/10 ... Can you understand this?

Answer 15

ok

Answer 16

and you need to know that 0.1 x10 =1. Okay?

Answer 17

ok

Answer 18

So 0.3 x 10 =?

Answer 19

so i can just do to one side what i do to the other . thus multiplying ten on each side equaling one third

Answer 20

thank you i think i got it, i gave you a medal

Answer 21

Wow~~
That's the concept!
For 0.3 x =0.1
Multiplying both sides by 10, you'll get
3x =1
You can solve it :)

Answer 22

Welcome :)