SOLUTION: 9. (8 pts) Solve the equation. Check all proposed solutions. Show work in solving and in checking, and state your final conclusion. (x-3)/(x+2)-10/(x^2+2x)=0

Question 1134678: 9. (8 pts) Solve the equation. Check all proposed solutions. Show work in solving and in checking, and state your final conclusion.

(x-3)/(x+2)-10/(x^2+2x)=0

Found 2 solutions by mathsolverplus, MathLover1:
Answer by mathsolverplus(88) (Show Source): You can put this solution on YOUR website!

Multiplied on both sides.

x=-2 and x=5
x cannot be -2 because we have (x+2) as the denominator.
Otherwise, you will obtain error from the first part: (x-3)/(0)

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Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!

..........common denominator is

...factor numerator

.....since numerator and denominator have => is not a solution because denominator cannot be equal to zero
......simplify

since denominator cannot be equal to zero (function would be undefined), exclude value
solution is:

=>

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