SOLUTION: 30.) solve each equation. x/3 = 4/x+1

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Question 164062This question is from textbook Elementary and Intermediate
: 30.) solve each equation.
x/3 = 4/x+1 This question is from textbook Elementary and Intermediate

Answer by elima(1433) About Me  (Show Source):
You can put this solution on YOUR website!
x%2F3+=+%284%29%2F%28x%2B1%29
Lets get rid of denominators;
multiply each side by 3 and x+1;
x%5E2+%2B+x+=+12
Now subtract 12 from both sides;
x%5E2%2Bx-12=0
factor;
(x+4)(x-3)=0
x+4= 0
x=-4
x-3=0
x=3
solution set = -4, 3
:)