(x+3)^2+(4-x)^2=2(x-4)(x+3)
(x+3)^2+(4-x)^2-2(x-4)(x+3)=0
x^2+6x+9+16-8x+x^2-2x^2-2x-24=0
-4x+1=0
-4x=-1
4x=1
x=1/4
x=0.25
(x+3)^2+(4-x)^2=2(x-4)(x+3)
(x+3)^2+(4-x)^2-2(x-4)(x+3)=0
x^2+6x+9+16-8x+x^2-2x^2-2x-24=0
-4x+1=0
-4x=-1
4x=1
x=1/4
x=0.25