SOLUTION: Solve the following equations and inequality for x. If the solution is extraneous, please state that it is. Please show me all work for a better understanding. c-1/x + d = cd Sol

Question 1068495: Solve the following equations and inequality for x. If the solution is extraneous, please state that it is. Please show me all work for a better understanding.
c-1/x + d = cd
Solve for x.
Note: c-1 is the whole numerator and is part of the first fraction. All of it is over x. The problem is not c - 1/x.
Thank you kindly.
Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
( (c-1)/x) + d = cd
:
Note we assume x is not = 0
:
subtract d from both sides of =
:
(c-1)/x = (cd -d) / 1
:
cross multiply fractions
:
x(cd -d) = (c-1)
:
x = (c-1) / (d(c-1)) = (1/d)
:
Note we assume d is not = 0
:

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