Solve the following quadratic equation by factorization.
x+3x+2=3x−72x−3,x≠−2,32
x+3x+2=3x−72x−3
Cross-multiplying we get;
(x+3)(2x−3)=(3x−7)(x+2)
2x2−3x+6x−9=3x2+6x−7x−14
2x2+3x−9=3x2−x−14
x2−4x−5=0
x2+x−5x−5=0
x(x+1)−5(x+1)=0
(x+1)(x−5)=0
Therefore,
x=−1,5