SOLUTION: solve for x: 1/x +1/x+3=1/2

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Question 319723: solve for x: 1/x +1/x+3=1/2
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
1%2Fx%2B1%2F%28x%2B3%29=1%2F2 Start with the given equation.


2%28x%2B3%29%2B2x=x%28x%2B3%29 Multiply EVERY term by the LCD 2x%28x%2B3%29 to clear out the fractions.


2x%2B6%2B2x=x%5E2%2B3x Distribute.


4x%2B6=x%5E2%2B3x Combine like terms.


0=x%5E2%2B3x-4x-6 Get everything to one side.


0=x%5E2-x-6 Combine like terms.


0=%28x-3%29%28x%2B2%29 Factor.


x-3=0 or x%2B2=0 Use the zero product property.


x=3 or x=-2 Solve for 'x' in each equation.


So the solutions are x=3 or x=-2