Question 109156
(15/x)-(15/(x+2))=2
15(x+2)-15x=2x(x+2) multiply both sides times x(x+2) to eliminate fractions.
15x+30-15x=2x^2+4x
2x^2+4x-30=0 add -30 to both sides.
2(x^2+2x-15)=0
(x+5)(x-3)=0 factor
x=-5, x=3
Always check:
15/-5 - 15/-3=2...-3+5=2 true
15/3 - 15/5=2...5-3=2 true
Ed