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Simplifying -1X2 + 2X + -3 = -1 Reorder the terms: -3 + 2X + -1X2 = -1 Solving -3 + 2X + -1X2 = -1 Solving for variable 'X'. Reorder the terms: -3 + 1 + 2X + -1X2 = -1 + 1 Combine like terms: -3 + 1 = -2 -2 + 2X + -1X2 = -1 + 1 Combine like terms: -1 + 1 = 0 -2 + 2X + -1X2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 2 + -2X + X2 = 0 Move the constant term to the right: Add '-2' to each side of the equation. 2 + -2X + -2 + X2 = 0 + -2 Reorder the terms: 2 + -2 + -2X + X2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -2X + X2 = 0 + -2 -2X + X2 = 0 + -2 Combine like terms: 0 + -2 = -2 -2X + X2 = -2 The X term is -2X. Take half its coefficient (-1). Square it (1) and add it to both sides. Add '1' to each side of the equation. -2X + 1 + X2 = -2 + 1 Reorder the terms: 1 + -2X + X2 = -2 + 1 Combine like terms: -2 + 1 = -1 1 + -2X + X2 = -1 Factor a perfect square on the left side: (X + -1)(X + -1) = -1 Can't calculate square root of the right side. The solution to this equation could not be determined.
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