Question

use factoring to solve this equation
x^2-12x+27=0

Answer 1

x^2-12x+27=0
x^2 -9x -3x + 27 = 0
x(x-9) -3(X-9) = 0
(x-3)(x-9) = 0

This is only possible if either x-3=0 or x-9 = 0

if x-3 = 0 ==> x = 3
if x-9 = 0 ==> x = 9

so solution for the given quadratic equation is x = 3 , 9