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Simplifying x2 + 17x = -97 Reorder the terms: 17x + x2 = -97 Solving 17x + x2 = -97 Solving for variable 'x'. Reorder the terms: 97 + 17x + x2 = -97 + 97 Combine like terms: -97 + 97 = 0 97 + 17x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-97' to each side of the equation. 97 + 17x + -97 + x2 = 0 + -97 Reorder the terms: 97 + -97 + 17x + x2 = 0 + -97 Combine like terms: 97 + -97 = 0 0 + 17x + x2 = 0 + -97 17x + x2 = 0 + -97 Combine like terms: 0 + -97 = -97 17x + x2 = -97 The x term is 17x. Take half its coefficient (8.5). Square it (72.25) and add it to both sides. Add '72.25' to each side of the equation. 17x + 72.25 + x2 = -97 + 72.25 Reorder the terms: 72.25 + 17x + x2 = -97 + 72.25 Combine like terms: -97 + 72.25 = -24.75 72.25 + 17x + x2 = -24.75 Factor a perfect square on the left side: (x + 8.5)(x + 8.5) = -24.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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