Question

2x-17=9/x solve the equation by factoring

Answer 1

2x-17=9/x


x(2x-17)=9


2x^2 - 17x = 9


2x^2 - 17x - 9 = 0


2x^2+x-18x-9 = 0... See note below


(2x^2+x)+(-18x-9) = 0


x(2x+1)+(-18x-9) = 0


x(2x+1)-9(2x+1) = 0


(x-9)(2x+1) = 0


x-9=0 or 2x+1=0


I'll let you finish

Answer 2

note: you multiply 2 and -9 to get -18

then you find two numbers that multiply to -18 AND add to -17. These two numbers are 1 and -18, so that's how I broke -17x into x - 18x