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how do i simplify x^2-x-30/x-6=8 there are no brackets

 Feb 10, 2017

Best Answer 

 #5
avatar+1886 
+15

No problem, I was just wondering.

You should create an account smiley

 Feb 10, 2017
 #1
avatar+1886 
+15

1. Exclude the restricted values of x

\({{x^2}-x-30\over x-6}=8\)

 

2. Write -x as a sum

\({{x^2}-x-30\over x-6}=8,x\neq 6\)

 

3. Factor out x from the expression

Factor out -6 from the expression

\({{x^2}+5x-6x-30\over x-6}=8\)

 

4. Factor out x+5 from the expression

\({x\times (x+5)-6(x+5)\over x-6}=8\)

 

5. Simplify the fraction

\({x-6)\times (x+5)\over x-6}=8\)

 

6. Move constant to the right side and change its sign

\(x+5=8\)

 

7. Subtract the numbers

\(x=8-5\)

 

8. If any solution equals to a restricted value, exclude it

\(x=3,x\neq 6\)

 

9. Answer

\(x=3\)

 

Is this good enough?

 Feb 10, 2017
 #2
avatar+129840 
+5

Very well presented, EMP.....!!!!!!

 

 

 

cool cool cool

 Feb 10, 2017
 #3
avatar+1886 
+10

Your welcome smiley

EighthMersennePrime  Feb 10, 2017
 #4
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+5

Perfect thank you so much, sorry for the double post, just working out how the site works. Great site

 Feb 10, 2017
 #5
avatar+1886 
+15
Best Answer

No problem, I was just wondering.

You should create an account smiley

EighthMersennePrime  Feb 10, 2017

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