SOLUTION: Identify the LCD of the rational expression in the equation.. Please help me solve this; I would appreciate your help :) (7x+1) / (2x+5) + 4 = (10x-3) / (3x)

Algebra ->  Rational-functions -> SOLUTION: Identify the LCD of the rational expression in the equation.. Please help me solve this; I would appreciate your help :) (7x+1) / (2x+5) + 4 = (10x-3) / (3x)       Log On


   



Question 1031709: Identify the LCD of the rational expression in the equation..
Please help me solve this; I would appreciate your help :)
(7x+1) / (2x+5) + 4 = (10x-3) / (3x)

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

Identify the LCD of the rational expression in the equation..
Please help me solve this; I would appreciate your help :)
(7x+1) / (2x+5) + 4 = (10x-3) / (3x)
%287x+%2B+1%29%2F%282x+%2B+5%29+%2B+4+=+%2810x+-+3%29%2F%283x%29, with matrix%281%2C3%2C+x+%3C%3E+-+5%2F2%2C+or%2C+x+%3C%3E+0%29
LCD: highlight_green%283x%282x+%2B+5%29%29
%287x+%2B+1%29%2F%282x+%2B+5%29+%2B+4+=+%2810x+-+3%29%2F%283x%29+, with matrix%281%2C3%2C+x+%3C%3E+-+5%2F2%2C+or%2C+x+%3C%3E+0%29
3x(7x + 1) + 4(3x)(2x + 5) = (2x + 5)(10x - 3) ------- Multiplying by LCD, 3x(2x + 5)
21x%5E2+%2B+3x+%2B+24x%5E2+%2B+60x+=+20x%5E2+%2B+44x+-+15
21x%5E2+%2B+24x%5E2+-+20x%5E2+%2B+3x+%2B+60x+-+44x+%2B+15+=+0
25x%5E2+%2B+19x+%2B+15+=+0
Solving the above (quadratic equation formula/completing the square) produces UNREAL, or IMAGINARY solutions.