Question 75656
{{{5/(2x+6)+46/(7x)=2}}}
{{{(7x(2x+6))(5/cross(2x+6)+46/cross(7x))=2*(7x(2x+6))}}} Multiply both sides by the LCD (which is 7x(2x+6)
{{{5*7x+46(2x+6)=14x(2x+6)}}}
{{{35x+92x+276=28x^2+84x}}} Distribute the 46 on the left and distribute the 7x on the right
{{{127x+276=28x^2+84x}}} Combine like terms
{{{0=28x^2+84x-127x-276}}} Get all terms to one side
{{{0=28x^2-43x-276}}} Combine like terms and simplify. Now use the quadratic formula to solve for x:

*[invoke quadratic "x", 28, -43, -276 ]

So x=-2.4642857 and x=4