How do you solve #a(a-9)=0#? Algebra Polynomials and Factoring Zero Product Principle 1 Answer Barney V. Mar 20, 2017 #color(blue)(a=9# Explanation: #color(blue)(a(a-9)=0# multiply L.H.S and R.H.S. by #1/a# #a-9=0 xx 1/a# #a-9=0/a=0# (example#0/2=0:.0/a=0)# #:.a-9=0# #:.color(blue)(a=9# check: substitute #color(blue)(a=9# #color(blue)9((color(blue)9)-9=0)# #9(0)=0# #9 xx 0=0# 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 3665 views around the world You can reuse this answer Creative Commons License