# Answer to Question #6140 in Trigonometry for valerie wykes

Question #6140

4x/x-3=2+12/x-3

Expert's answer

first we should remark that x<>3 because otherwise we can obtain zero in the denominator and that makes no sence

4x/(x-3)-12/(x-3)=2

(4x-12)/(x-3)=2

4(x-3)/(x-3)=2

4=2 that's not true& so given equation has no solution

4x/(x-3)-12/(x-3)=2

(4x-12)/(x-3)=2

4(x-3)/(x-3)=2

4=2 that's not true& so given equation has no solution

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