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Please answer this question thanks-example-1

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{x}^(2) - x - (3)/(4) = 0 \\ 4{x}^(2) - 4x - 3 = 0 \\ 4 {x}^(2) - (6x - 2x) - 3 = 0 \\ (4 {x}^(2) - 6x) + (2x - 3) = 0 \\ 2x(2x - 3) + 1(2x - 3) = 0 \\ (2x + 1)(2x - 3) = 0 \\ \\ x = ( - 1)/(2) \: and \: (3)/(2)

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