10 over x 12 over x34 over 1 0 over 1 find all real solution

10 over x -12 over x-3+4 over 1 =0 over 1

find all real solutions
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(10/x)-(12/(x-3)) +(4/1) =0/1

(10/x)-(12/(x-3)) +4 =0

(10/x)-(12/(x-3)) =0-4

(10(x-3)- 12(x))/(x(x-3)) =-4

(10x-30- 12x) =-4x(x-3)

(-30- 2x) =-4x²+12x

4x²-14x-30=0

2x²-7x-15=0

2x²-10x+3x-15=0

2x(x-5)+3(x-5)=0

(2x+3)(x-5)=0

2x+3=0,x-5=0

x=-3/2 ,x=5