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 2255 views around the world You can reuse this answer Creative Commons License