How do you solve #(2x)/(4-x)=x^2/(x-4)#? Algebra Rational Equations and Functions Clearing Denominators in Rational Equations 1 Answer Deepak G. Aug 13, 2016 #x=0# #x=-2# Explanation: #(2x)/(4-x)=x^2/(x-4)# or #-(2x)/(x-4)=x^2/(x-4)# or #x^2=-2x# or #x^2+2x=0# or #x(x+2)=0# or #x=0#------------------Ans #1# or #x+2=0# or #x=-2#----------------------------Ans #2# 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 1473 views around the world You can reuse this answer Creative Commons License