How do you solve #-6m^2 = -414#? Algebra Quadratic Equations and Functions Comparing Methods for Solving Quadratics 1 Answer Alan P. Jul 24, 2015 #m = +-sqrt(69)# Explanation: #-6m^2 = -414# #color(white)("XXXX")#divide both sides by #(-6)# #rarr m^2 = 69# #color(white)("XXXX")#take square root of both sides #rarr m = +-sqrt(69)# 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 1988 views around the world You can reuse this answer Creative Commons License