SOLUTION: solve 2(4x-1)(3x+4)=(4x+3)(6x-1)

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Question 202303: solve 2(4x-1)(3x+4)=(4x+3)(6x-1)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
2%284x-1%29%283x%2B4%29=%284x%2B3%29%286x-1%29 Start with the given equation.


2%2812x%5E2%2B13x-4%29=24x%5E2%2B14x-3 FOIL


24x%5E2%2B26x-8=24x%5E2%2B14x-3 Distribute


24x%5E2%2B26x-8-24x%5E2-14x%2B3=0 Get all terms to the left side.


12x-5=0 Combine like terms.


12x=0%2B5 Add 5 to both sides.


12x=5 Combine like terms on the right side.


x=%285%29%2F%2812%29 Divide both sides by 12 to isolate x.


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Answer:

So the solution is x=5%2F12 which approximates to x=0.417.