(x+4)/(2) -(3)/(x-3) =1 Quadratics null factor the given answer is x= 4,−3 but I don't know how to work it out

Question

`(x+4)/(2) -(3)/(x-3) =1`

Quadratics null factor the given answer is x= 4,−3 but I don't know how to work it out

Answer 1

Hello,

Explanation:

`x\\eq 3\\\\(x+4)/(2) -(3)/(x-3) =1\\\\((x+4)(x-3)-2*3-2(x-3))/(2(x-3)) =0\\\\x^2+4x-3x-12-6-2x+6=0\\\\x^2-x-12=0\\\\x^2-4x+3x-12=0\\\\x(x-4)+3(x-4)=0\\\\(x-4)(x+3)=0\\\\x=4\ or\ x=-3\\`

Answer 2

Follow each step in the picture