How do you solve 5x^2 = 100 by factoring? Algebra Polynomials and Factoring Zero Product Principle 1 Answer Joel Kindiak Oct 3, 2015 Make the LHS quadratic and RHS = 0 Explanation: 5x^2 = 100 x^2=20 x^2-20=0 (x+sqrt(20))(x-sqrt(20))=0 (x+2sqrt(5))(x-2sqrt(5))=0 x=-2sqrt(5) or x=2sqrt(5) Answer link Related questions What is the Zero Product Principle? How to use the zero product principle to find the value of x? How do you solve the polynomial 10x^3-5x^2=0? Can you apply the zero product property in the problem (x+6)+(3x-1)=0? How do you solve the polynomial 24x^2-4x=0? How do you use the zero product property to solve (x-5)(2x+7)(3x-4)=0? How do you factor and solve b^2-\frac{5}{3b}=0? Why does the zero product property work? How do you solve (x - 12)(5x - 13) = 0? How do you solve (2u+7)(3u-1)=0? See all questions in Zero Product Principle Impact of this question 3119 views around the world You can reuse this answer Creative Commons License