If x ≠ 0, what is the solution to the following equation? (1  x)/x + 2 = 7/x
If x ≠ 0, what is the solution to the following equation? (1  x)/x + 2 = 7/x
Getting a common denominator on the left, we have
(1  x)/x + 2x/x = 7/x subtract 2x/x from both sides
(1 x)/ x = 7/x  2x/x
(1x )/x = (7  2x) /x crossmultiply
x(1  x) = x(7  2x) simplify
x  x^2 = 7x  2 x^2 rearrange
x^2  6x = 0 factor
x(x 6) = 0 set both factors = 0...so x = 0 or x = 6
And since x can't = 0, then x = 6
