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Simplifying 0 = x2 + -3x + 9 Reorder the terms: 0 = 9 + -3x + x2 Solving 0 = 9 + -3x + x2 Solving for variable 'x'. Combine like terms: 0 + -9 = -9 -9 + 3x + -1x2 = 9 + -3x + x2 + -9 + 3x + -1x2 Reorder the terms: -9 + 3x + -1x2 = 9 + -9 + -3x + 3x + x2 + -1x2 Combine like terms: 9 + -9 = 0 -9 + 3x + -1x2 = 0 + -3x + 3x + x2 + -1x2 -9 + 3x + -1x2 = -3x + 3x + x2 + -1x2 Combine like terms: -3x + 3x = 0 -9 + 3x + -1x2 = 0 + x2 + -1x2 -9 + 3x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -9 + 3x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 9 + -3x + x2 = 0 Move the constant term to the right: Add '-9' to each side of the equation. 9 + -3x + -9 + x2 = 0 + -9 Reorder the terms: 9 + -9 + -3x + x2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -3x + x2 = 0 + -9 -3x + x2 = 0 + -9 Combine like terms: 0 + -9 = -9 -3x + x2 = -9 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 = -9 + 2.25 Reorder the terms: 2.25 + -3x + x2 = -9 + 2.25 Combine like terms: -9 + 2.25 = -6.75 2.25 + -3x + x2 = -6.75 Factor a perfect square on the left side: (x + -1.5)(x + -1.5) = -6.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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