How do you solve 9/2x+2=8/x? Algebra Linear Equations Multi-Step Equations with Like Terms 1 Answer moutar Jan 10, 2016 x=(-2+-2sqrt37)/9 Explanation: Multiply through by 2x to remove the fractions. 9x^2+4x=16 9x^2+4x-16=0 x=(-4+-sqrt(4^2-4*9*-16))/18 x=(-4+-sqrt(592))/18 x=(-4+-4sqrt37)/18 x=(-2+-2sqrt37)/9 Answer link Related questions How do you solve multi step equations by combining like terms? How do you solve multi step equation w + w + 12 = 40? How do you solve 3p + 4p + 37 = 79? How do you solve for f: f-1+2f+f-3=-4? How do you combine like terms? How do you combine like terms for -7mn-2mn^2-2mn + 8? How do you combine like terms for 3x^2 + 21x + 5x + 10x^2? What is a term? How do you solve 3v+5-7v+18=17? How do you solve for x in 5x + 7x = 72? See all questions in Multi-Step Equations with Like Terms Impact of this question 1424 views around the world You can reuse this answer Creative Commons License