SOLUTION: For the following, solve. Find exact solutions {{{3/(8x+1)+8/(2x+5)=1}}}

Question 142983: For the following, solve. Find exact solutions

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 LCD

Distribute

Distribute again

Foil

Subtract 16x^2 from both sides. Subtract 42x from both sides. Subtract 5 from both sides.

Combine like terms

Factor the left side

Now set each factor equal to zero:
or

or Now solve for x in each case

So our answers are

or

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