Question 283698
4\X-3  +  2X\X-3 = 12\X^2-6X+9

4/ x-3 +2x/ x-3 = 12 / ( x-3)^2

(x-3 ) is a common factor in all the terms and on both sides of the equation

4+2x=12*(x-3) /(x-3)^2

4+2x= 12 / x-3

(4+2x)(x-3)=12

4x-12+2x^2-6x=12

2x^2-2x-24=0

x^2-x-12=0

x^2-4x+3x-12=0

x(x-4)+3(x-4)=0

(x-4)(x+3)=0