How do you solve #3/(2x)-9/2=6x#? Algebra Rational Equations and Functions Clearing Denominators in Rational Equations 1 Answer James W. May 30, 2018 #x=1/4, -1# Explanation: #3/(2x)-9/2=6x# #3/(2x)-(9x)/(2x)=6x# #(3-9x)/(2x)=6x# #3-9x=12x^2# #12x^2+9x-3 = 0# #4x^2+3x-1=0# #(4x-1)(x+1)=0# #x=1/4, -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 2051 views around the world You can reuse this answer Creative Commons License