The only solution of the equation ...

x&2+bx-18 over (divided by) -2x+4 equals 4.... When x=-17.

I plugged in the number and replaced x with -17 and it looks like this...

(-17)^2 +(-17x)-18 over 38. I just got lost.

(x^2+bx-18)/(-2x+4) = 4 = 4/1

same as before, cross-multiply
x^2 + bx - 18 = -8x + 16
now let's sub in the x = -17
(-17)^2 - 17b - 18 = 136 + 16
-17b = 152 + 18 - 289
-17b = -119
b = 7