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Question

Solve equation, given below, using factorisation method:

(x+3)24(x+3)5=0

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Solution

Let x+3=p

So, the given equation is p24p5=0

p squared minus 5 p plus p minus 5 equals 0 p open parentheses p minus 5 close parentheses plus open parentheses p minus 5 close parentheses equals 0 open parentheses p plus 1 close parentheses open parentheses p minus 5 close parentheses equals 0 p equals negative 1 p equals 5 i e x plus 3 equals negative 1 x equals negative 4 a n d x plus 3 equals 5 x equals 2


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