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Simplifying x2 + 7x + 17 = 0 Reorder the terms: 17 + 7x + x2 = 0 Solving 17 + 7x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-17' to each side of the equation. 17 + 7x + -17 + x2 = 0 + -17 Reorder the terms: 17 + -17 + 7x + x2 = 0 + -17 Combine like terms: 17 + -17 = 0 0 + 7x + x2 = 0 + -17 7x + x2 = 0 + -17 Combine like terms: 0 + -17 = -17 7x + x2 = -17 The x term is 7x. Take half its coefficient (3.5). Square it (12.25) and add it to both sides. Add '12.25' to each side of the equation. 7x + 12.25 + x2 = -17 + 12.25 Reorder the terms: 12.25 + 7x + x2 = -17 + 12.25 Combine like terms: -17 + 12.25 = -4.75 12.25 + 7x + x2 = -4.75 Factor a perfect square on the left side: (x + 3.5)(x + 3.5) = -4.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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