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
(1-x )/x = (7 - 2x) /x cross-multiply
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
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