Solve equation, given below, using factorisation method:

$(2 x - 3)^{2} = 49$

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Solution

$(2 x - 3)^{2} = 49 \Rightarrow (2 x - 3)^{2} - 7^{2} = 0 \Rightarrow (2 x - 3 - 7) (2 x - 3 + 7) = 0 \Rightarrow (2 x - 10) (2 x + 4) = 0 \Rightarrow x = 5 o r x = - 2$

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