Solve the following quadratic equation:
x/x+3 = 5/2x+6

Answer:
[tex]x=5/2, x=-3\\[/tex]
Step-by-step explanation:
[tex]x(2x+6)=5(x+3)\\2x^2+6x=5x+15\\2x^2+6x-5x-15=0\\2x^2+x-15=0\\2x^2+6x-5x-15=0\\2x(x+3)-5(x+3)=0\\(2x-5)(x+3)=0\\2x-5=0, x+3=0\\x=5/2, x=-3\\[/tex]