Find the roots of the foll quadratic equation (x+3)(x-1)=3(x-1/3)

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Solution

$The given quadratic equation is, (x + 3) (x - 1) = 3 (x - \frac{1}{3}) \Rightarrow x^{2} + 2 x - 3 = 3 x - 1 \Rightarrow x^{2} - x - 2 = = 0 \Rightarrow x^{2} - 2 x + x - 2 = 0 \Rightarrow x (x - 2) + 1 (x - 2) = 0 \Rightarrow (x + 1) (x - 2) = 0 \Rightarrow x + 1 = 0 or x - 2 = 0 \Rightarrow x = - 1 or x = 2$

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