The solution is x=-1 and x=7/6
Step-by-step explanation:
Given equation is:
[tex]\frac{5}{2x+2}=\frac{3x-1}{x+1}\\Cross\ multiplying\\5(x+1) = (3x-1)(2x+2)\\5x+5=3x(2x+2)-1(2x+2)\\5x+5=6x^2+6x-2x-2\\5x+5=6x^2+4x-2\\Simplifying\\6x^2+4x-5x-2-5=0\\6x^2-x-7=0\\Factorizing\\6x^2+6x-7x-7=0\\6x(x+1)-7(x+1)=0\\(6x-7)(x+1)\\x+1=0 => x=-1\\6x-7=0 => 6x=7 =>x=\frac{7}{6}[/tex]
The solution is x=-1 and x=7/6
Keywords: Quadratic equation, solution of equations
Learn more about quadratic equations at:
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