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Simplifying x2 + 5x + 13 = 1 Reorder the terms: 13 + 5x + x2 = 1 Solving 13 + 5x + x2 = 1 Solving for variable 'x'. Reorder the terms: 13 + -1 + 5x + x2 = 1 + -1 Combine like terms: 13 + -1 = 12 12 + 5x + x2 = 1 + -1 Combine like terms: 1 + -1 = 0 12 + 5x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-12' to each side of the equation. 12 + 5x + -12 + x2 = 0 + -12 Reorder the terms: 12 + -12 + 5x + x2 = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 5x + x2 = 0 + -12 5x + x2 = 0 + -12 Combine like terms: 0 + -12 = -12 5x + x2 = -12 The x term is 5x. Take half its coefficient (2.5). Square it (6.25) and add it to both sides. Add '6.25' to each side of the equation. 5x + 6.25 + x2 = -12 + 6.25 Reorder the terms: 6.25 + 5x + x2 = -12 + 6.25 Combine like terms: -12 + 6.25 = -5.75 6.25 + 5x + x2 = -5.75 Factor a perfect square on the left side: (x + 2.5)(x + 2.5) = -5.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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