SOLUTION: Solve rational equation: x+3=-2/x

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Question 146880This question is from textbook Glencoe Algebra 1
: Solve rational equation:
x+3=-2/x This question is from textbook Glencoe Algebra 1

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
x%2B3=-2%2Fx Start with the given equation


x%2Ax%2Bx%2A3=cross%28x%29%28-2%2Fcross%28x%29%29 Multiply every term by the LCD x to clear the fractions


x%5E2%2B3x=-2 Simplify


x%5E2%2B3x%2B2=0 Get all terms to the left side.


%28x%2B2%29%28x%2B1%29=0 Factor the left side (note: if you need help with factoring, check out this solver)



Now set each factor equal to zero:
x%2B2=0 or x%2B1=0

x=-2 or x=-1 Now solve for x in each case


So our answers are

x=-2 or x=-1