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Question

Solve the following quadratic equation by factorization.
x+3x+2=3x72x3,x2,32

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Solution

x+3x+2=3x72x3

Cross-multiplying we get;

(x+3)(2x3)=(3x7)(x+2)

2x23x+6x9=3x2+6x7x14

2x2+3x9=3x2x14

x24x5=0

x2+x5x5=0

x(x+1)5(x+1)=0

(x+1)(x5)=0

Therefore,

x=1,5


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