Could you please show me how to solvethis:

x+6/4x^2 + 3/2x^2 = x + 4/2x^2

Please show me the steps-I don't even know where to start and I have 30 of these for homework

Thank you

3 answers

For some strange reason, I think you meant to type
(x+6)/4x^2 + 3/2x^2 = (x + 4)/2x^2
The LCD is 4x^2, so let's multiply each term by that

x+6 + 6 = 2(x+4)
x+12 = 2x + 8
x = 4

If you meant it the way you typed, it will turn into a cubic equation, ... very hard to solve.
How can the LCD be 4x^2 when you have two (2x^2) as two of the denominators?
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