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x2 + 4x - 3 = 0 add 3 to both sides

x2 + 4x = 3 add 22 to both sides to complete the square

x2 + 4x + 22 = 7 form the square

(x + 2)2 = 7 take the square root of both sides

x + 2 = ± √7 subtract 2 to both sides

x = -2 ± √7

x = -2 + √7 or x = -2 - √7

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