A builder has agreed not to erect all "look alike" homes in a new subdivision. Five exterior designs are offered to potential ho
mebuyers. The builder has standardized three interior plans that can be incorporated in any of the five exteriors. How many different ways can the exterior and interior plans be offered to potential homebuyers?
I just solved this one anothe way is undistribute the 2 first and move -14 to side 2(x^2+6x)-14=0 comlete the squer inside and add negative 2(x^2+6x+9-9)-14=0 factor perfect square 2((x+3)^2-9)-14=0 distribute 2(x+3)^2-18-14=0 2(x+3)^2-32=0 add 32 both sides 2(x+3)^2=32 divide 2 (x+3)^2=16 sqrt both sides x+3=+/-4 minus 3 x=-4-3 or 4-3 x=1 or -7
