How do you solve #-6x=x^2+9#? Algebra Quadratic Equations and Functions Comparing Methods for Solving Quadratics 1 Answer jk.13 Mar 23, 2018 #x=-3# Explanation: #x^2+6x+9=0# set the equation equal to 0 #x^2+3x+3x+9=0# find two numbers that MULTIPLY to 9, ADD to 6 #x(x+3)+3(x+3)=0# factor out GCF #(x+3)(x+3)=0# #x=-3# Answer link Related questions What are the different methods for solving quadratic equations? What would be the best method to solve #-3x^2+12x+1=0#? How do you solve #-4x^2+4x=9#? What are the two numbers if the product of two consecutive integers is 72? Which method do you use to solve the quadratic equation #81x^2+1=0#? How do you solve #-4x^2+4000x=0#? How do you solve for x in #x^2-6x+4=0#? How do you solve #x^2-6x-16=0# by factoring? How do you solve by factoring and using the principle of zero products #x^2 + 7x + 6 = 0#? How do you solve #x^2=2x#? See all questions in Comparing Methods for Solving Quadratics Impact of this question 3559 views around the world You can reuse this answer Creative Commons License