How do you factor and solve m^2=-6m-7? Algebra Quadratic Equations and Functions Comparing Methods for Solving Quadratics 1 Answer EZ as pi · Mouhamed Ayoub E. Mar 11, 2017 m =sqrt2-3" or " m=-sqrt2-3 Explanation: m^2 =-6m-7 m²+6m+9=-7+9" add "(6/2)^2 to both sides (m+3)²=2 (m+3)^2 - 2=0" " factor as difference of squares (m+3+sqrt2) (m+3-sqrt2)=0 m+3=sqrt2 " or " m+3=-sqrt2 m = sqrt2-3" or "m= -sqrt2 -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 2523 views around the world You can reuse this answer Creative Commons License