SOLUTION: x/2-18/x+5/2=0

Question 119128: x/2-18/x+5/2=0
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Start with the given equation

Multiply both sides by the LCM of 2x. This will eliminate the fractions

Distribute and multiply the LCM to each side

Rearrange the terms

Factor the left side (note: if you need help with factoring, check out this solver)

Now set each factor equal to zero:
or

or Now solve for x in each case

So our answer is
or

Notice if we graph we can see that the roots are and . So this visually verifies our answer.

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