SOLUTION: solve equation. 1/4m+2m/m-3=2

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Question 146883This question is from textbook Glencoe Algebra 1
: solve equation.
1/4m+2m/m-3=2 This question is from textbook Glencoe Algebra 1

Answer by jim_thompson5910(35256) About Me  (Show Source):
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1%2F%284m%29%2B%282m%29%2F%28m-3%29=2 Start with the given equation


Multiply every term by the LCD 4m%28m-3%29 to clear the fractions.



m-3%2B8m%5E2=8m%28m-3%29 Multiply and simplify


m-3%2B8m%5E2=8m%5E2-24m Distribute


m-3%2B8m%5E2-8m%5E2%2B24m=0 Get all terms to the left side.


25m-3=0 Combine like terms.


25m=0%2B3 Add 3 to both sides.


25m=3 Combine like terms on the right side.


m=%283%29%2F%2825%29 Divide both sides by 25 to isolate m.


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Answer:

So the answer is m=3%2F25


Which approximates to m=0.12