SOLUTION: Find all the solutions to (x + 4)/(x + 5) = (x - 3)/x + (2x - 7)/(x + 5).

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Question 1209258: Find all the solutions to
(x + 4)/(x + 5) = (x - 3)/x + (2x - 7)/(x + 5).

Answer by math_tutor2020(3817)   (Show Source): You can put this solution on YOUR website!

The denominators are (x+5) and x
The LCD is x(x+5)

Multiply both sides by the LCD to clear out the fractions.












Then let's expand everything out and get everything to one side.












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Compare that to
a = 2, b = -9, c = -15

Plug those into the quadratic formula.








or
Those are the two solutions.
The decimal values are approximate.

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