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) 
<pre>{{{(7x + 1)/(2x + 5) + 4 = (10x - 3)/(3x)}}}, with {{{matrix(1,3, x <> - 5/2, or, x <> 0)}}}
LCD: {{{highlight_green(3x(2x + 5))}}}

{{{(7x + 1)/(2x + 5) + 4 = (10x - 3)/(3x) }}}, with {{{matrix(1,3, x <> - 5/2, or, x <> 0)}}}
3x(7x + 1) + 4(3x)(2x + 5) = (2x + 5)(10x - 3) ------- Multiplying by LCD, 3x(2x + 5)
{{{21x^2 + 3x + 24x^2 + 60x = 20x^2 + 44x - 15}}} 
{{{21x^2 + 24x^2 - 20x^2 + 3x + 60x - 44x + 15 = 0}}}
{{{25x^2 + 19x + 15 = 0}}}
Solving the above (quadratic equation formula/completing the square) produces UNREAL, or IMAGINARY solutions.