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Simplifying 0 = X2 + -3X + 6 Reorder the terms: 0 = 6 + -3X + X2 Solving 0 = 6 + -3X + X2 Solving for variable 'X'. Combine like terms: 0 + -6 = -6 -6 + 3X + -1X2 = 6 + -3X + X2 + -6 + 3X + -1X2 Reorder the terms: -6 + 3X + -1X2 = 6 + -6 + -3X + 3X + X2 + -1X2 Combine like terms: 6 + -6 = 0 -6 + 3X + -1X2 = 0 + -3X + 3X + X2 + -1X2 -6 + 3X + -1X2 = -3X + 3X + X2 + -1X2 Combine like terms: -3X + 3X = 0 -6 + 3X + -1X2 = 0 + X2 + -1X2 -6 + 3X + -1X2 = X2 + -1X2 Combine like terms: X2 + -1X2 = 0 -6 + 3X + -1X2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 6 + -3X + X2 = 0 Move the constant term to the right: Add '-6' to each side of the equation. 6 + -3X + -6 + X2 = 0 + -6 Reorder the terms: 6 + -6 + -3X + X2 = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -3X + X2 = 0 + -6 -3X + X2 = 0 + -6 Combine like terms: 0 + -6 = -6 -3X + X2 = -6 The X term is -3X. Take half its coefficient (-1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. -3X + 2.25 + X2 = -6 + 2.25 Reorder the terms: 2.25 + -3X + X2 = -6 + 2.25 Combine like terms: -6 + 2.25 = -3.75 2.25 + -3X + X2 = -3.75 Factor a perfect square on the left side: (X + -1.5)(X + -1.5) = -3.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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