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Simplifying x2 + -3.5x + 13 = 2 Reorder the terms: 13 + -3.5x + x2 = 2 Solving 13 + -3.5x + x2 = 2 Solving for variable 'x'. Reorder the terms: 13 + -2 + -3.5x + x2 = 2 + -2 Combine like terms: 13 + -2 = 11 11 + -3.5x + x2 = 2 + -2 Combine like terms: 2 + -2 = 0 11 + -3.5x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-11' to each side of the equation. 11 + -3.5x + -11 + x2 = 0 + -11 Reorder the terms: 11 + -11 + -3.5x + x2 = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -3.5x + x2 = 0 + -11 -3.5x + x2 = 0 + -11 Combine like terms: 0 + -11 = -11 -3.5x + x2 = -11 The x term is -3.5x. Take half its coefficient (-1.75). Square it (3.0625) and add it to both sides. Add '3.0625' to each side of the equation. -3.5x + 3.0625 + x2 = -11 + 3.0625 Reorder the terms: 3.0625 + -3.5x + x2 = -11 + 3.0625 Combine like terms: -11 + 3.0625 = -7.9375 3.0625 + -3.5x + x2 = -7.9375 Factor a perfect square on the left side: (x + -1.75)(x + -1.75) = -7.9375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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