How do you solve #x^2+14x=0 #? Algebra Quadratic Equations and Functions Comparing Methods for Solving Quadratics 1 Answer Don't Memorise Apr 17, 2016 The solutions are: #x= 0# #x = -14# Explanation: #x^2 + 14x = 0# #x# is common to both the terms on the L.H.S of the expression: #color(blue)(x) * ( x + 14 ) = 0# Equating the factors to zero: #color(blue)(x)= 0# #x+ 14= 0 , x = -14# 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 1875 views around the world You can reuse this answer Creative Commons License