anonymous
  • anonymous
[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
Mathematics
chestercat
  • chestercat
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anonymous
  • anonymous
\[\frac{ 5x-6 }{ x }=\frac{ 2x }{ 2 }\]
anonymous
  • anonymous
Yeah
anonymous
  • anonymous
Know how to solve it??

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anonymous
  • 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
anonymous
  • anonymous
cross multiply it.
anonymous
  • anonymous
leads to \[10x^2-12=2x^2\] understnad how I got that?
anonymous
  • anonymous
i mean 10x
anonymous
  • anonymous
Not really
anonymous
  • anonymous
\[10x-12=2x^2\] becomes \[2x^2-10x-12=0\]
anonymous
  • anonymous
Understand?
anonymous
  • anonymous
Yes
anonymous
  • anonymous
\[2x^2-10x+12=0\] I mean. Someone is distracting me in real life. Sorry
anonymous
  • anonymous
\[2(x^2-5x+6)=2(x-3)(x-2)=0\] Know how to solve for x?
anonymous
  • anonymous
I dont understand which one it would be XD Im sorry i'm just really bad at math
anonymous
  • anonymous
anonymous
  • anonymous
anything multiplied by a zero equals zero. so set anything equal to zero.
anonymous
  • anonymous
Wouldnt the answer be x = 2 and x = 3 ?
anonymous
  • anonymous
Yes, it would. You are right.

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