How do you solve 2(x - 1)^2 - 8(x - 1)^2= 0? Algebra Quadratic Equations and Functions Comparing Methods for Solving Quadratics 1 Answer Don't Memorise May 21, 2015 (x-1)^2 is common to both the terms of the expression on the left hand side We can write the equation as (x-1)^2*(2-8) = 0 ->-6(x-1)^2 = 0 Dividing both sides by -6 we get: ->(cancel(-6)(x-1)^2)/cancel(-6) = 0/-6 ->(x-1)^2 = 0 ->x-1=0 -> color(green)(x = 1 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 1516 views around the world You can reuse this answer Creative Commons License