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Simplifying x2 + -3x + 13 = 2 Reorder the terms: 13 + -3x + x2 = 2 Solving 13 + -3x + x2 = 2 Solving for variable 'x'. Reorder the terms: 13 + -2 + -3x + x2 = 2 + -2 Combine like terms: 13 + -2 = 11 11 + -3x + x2 = 2 + -2 Combine like terms: 2 + -2 = 0 11 + -3x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-11' to each side of the equation. 11 + -3x + -11 + x2 = 0 + -11 Reorder the terms: 11 + -11 + -3x + x2 = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -3x + x2 = 0 + -11 -3x + x2 = 0 + -11 Combine like terms: 0 + -11 = -11 -3x + x2 = -11 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 = -11 + 2.25 Reorder the terms: 2.25 + -3x + x2 = -11 + 2.25 Combine like terms: -11 + 2.25 = -8.75 2.25 + -3x + x2 = -8.75 Factor a perfect square on the left side: (x + -1.5)(x + -1.5) = -8.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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