SOLUTION: Solve by factoring: 25x^2 + 2x + 1 = 12x

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Question 195740: Solve by factoring: 25x^2 + 2x + 1 = 12x
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
25x%5E2%2B2x%2B1=12x Start with the given equation.


25x%5E2%2B2x%2B1-12x=0 Subtract 12x from both sides.


25x%5E2-10x%2B1=0 Combine like terms.


%285x-1%29%5E2=0 Factor


5x-1=0 Take the square root of both sides


5x=0%2B1 Add 1 to both sides.


5x=1 Combine like terms on the right side.


x=%281%29%2F%285%29 Divide both sides by 5 to isolate x.


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Answer:

So the answer is x=1%2F5 which in decimal form is x=0.2.