How do you solve (x-2) / 3=1 / x? Algebra Rational Equations and Functions Clearing Denominators in Rational Equations 1 Answer Konstantinos Michailidis Oct 2, 2015 Refer to exlpanation Explanation: We have that (x-2)/3=1/x=>x(x-2)=3=>x^2-2x-3=0=>(x^2-2x+1)-4=0=>(x-1)^2-2^2=0=>[x-1-2]*[x-1+2]=0=>(x-3)*(x+1)=0=>x=3 or x=-1 Answer link Related questions What is Clearing Denominators in Rational Equations? How do you solve rational expressions by multiplying by the least common multiple? How do you solve 5x-\frac{1}{x}=4? How do you solve -3 + \frac{1}{x+1}=\frac{2}{x} by finding the least common multiple? What is the least common multiple for \frac{x}{x-2}+\frac{x}{x+3}=\frac{1}{x^2+x-6} and how do... How do you solve \frac{x}{x^2-36}+\frac{1}{x-6}=\frac{1}{x+6}? How do you solve by clearing the denominator of 3/x+2/x^2=4? How do you solve 2/(x^2+2x+1)-3/(x+1)=4? How do you solve equations with rational expressions 1/x+2/x=10? How do you solve for y in (y+5)/ 2 - y/3 =1? See all questions in Clearing Denominators in Rational Equations Impact of this question 1287 views around the world You can reuse this answer Creative Commons License