(x-5)(x-3)+(x-2)(x+4)=26
x^2-8x+15+x^2+2x-8=26
2x^2-6x=19
x^2-3x=19/2
x^2-2(3/2x)+9/4=19/2+9/4
(x-3/2)^2=47/4
x-3/2=±(√47)/2
x=±(√47)/2+3/2
x=±(√47+3)/2