SOLUTION: 4. Solve {{{40/(2x-3)+30/(4x+5)=-11}}}

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Question 143730: 4. Solve



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 . This will clear the fractions.



Distribute and multiply


Distribute again


Foil


Distribute


Add 88x^2 to both sides. Subtract 22x from both sides. Subtract 165 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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