## anonymous one year ago [10.02] What are the solutions for x in the proportion 5 times x minus 6 all over x equals 2 times x all over 2.? x = −12 and x = −8 x = 12 and x = 8 x = −2 and x = −3 x = 2 and x = 3

1. anonymous

$\frac{ 5x-6 }{ x }=\frac{ 2x }{ 2 }$

2. anonymous

Yeah

3. anonymous

Know how to solve it??

4. anonymous

Not really I mean I know that you have to substitute the x values for each of them but when I did it none of them worked

5. anonymous

cross multiply it.

6. anonymous

leads to $10x^2-12=2x^2$ understnad how I got that?

7. anonymous

i mean 10x

8. anonymous

Not really

9. anonymous

$10x-12=2x^2$ becomes $2x^2-10x-12=0$

10. anonymous

Understand?

11. anonymous

Yes

12. anonymous

$2x^2-10x+12=0$ I mean. Someone is distracting me in real life. Sorry

13. anonymous

$2(x^2-5x+6)=2(x-3)(x-2)=0$ Know how to solve for x?

14. anonymous

I dont understand which one it would be XD Im sorry i'm just really bad at math

15. anonymous

@Shalante

16. anonymous

anything multiplied by a zero equals zero. so set anything equal to zero.

17. anonymous

Wouldnt the answer be x = 2 and x = 3 ?

18. anonymous

Yes, it would. You are right.