a million.) x^(2)-8x-20=0 in this issue 2*-10=-20 and a couple of-10=-8, so insert 2 through fact the proper hand term of one factor and -10 through fact the proper-hand term of the different factor. (x+2)(x-10)=0 Set each and every of the factors of the left-hand factor of the equation equivalent to 0. x+2=0_x-10=0 on account that 2 would not incorporate the variable to sparkling up for, pass it to the proper-hand factor of the equation with the aid of subtracting 2 from the two factors. x=-2_x-10=0 Set each and every of the factors of the left-hand factor of the equation equivalent to 0. x=-2_x-10=0 on account that -10 would not incorporate the variable to sparkling up for, pass it to the proper-hand factor of the equation with the aid of including 10 to the two factors. x=-2_x=10 the great answer is the set of the guy suggestions. x=-2,10 2.) 8x^(2)=24x on account that 24x includes the variable to sparkling up for, pass it to the left-hand factor of the equation with the aid of subtracting 24x from the two factors. 8x^(2)-24x=0 factor out the GCF of 8x from each and every term interior the polynomial. 8x(x)+8x(-3)=0 factor out the GCF of 8x from 8x^(2)-24x. 8x(x-3)=0 Set the only term factor on the left-hand factor of the equation equivalent to 0. 8x=0 Divide each and every term interior the equation with the aid of 8. (8x)/(8)=(0)/(8) Simplify the left-hand factor of the equation with the aid of canceling the effort-free factors. x=(0)/(8) 0 divided with the aid of any huge sort or variable is 0. x=0 Set each and every of the factors of the left-hand factor of the equation equivalent to 0. x-3=0 on account that -3 would not incorporate the variable to sparkling up for, pass it to the proper-hand factor of the equation with the aid of including 3 to the two factors. x=3 the great answer is the set of the guy suggestions. x=0,3