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Simplifying x2 + 9x + 160 = 0 Reorder the terms: 160 + 9x + x2 = 0 Solving 160 + 9x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-160' to each side of the equation. 160 + 9x + -160 + x2 = 0 + -160 Reorder the terms: 160 + -160 + 9x + x2 = 0 + -160 Combine like terms: 160 + -160 = 0 0 + 9x + x2 = 0 + -160 9x + x2 = 0 + -160 Combine like terms: 0 + -160 = -160 9x + x2 = -160 The x term is 9x. Take half its coefficient (4.5). Square it (20.25) and add it to both sides. Add '20.25' to each side of the equation. 9x + 20.25 + x2 = -160 + 20.25 Reorder the terms: 20.25 + 9x + x2 = -160 + 20.25 Combine like terms: -160 + 20.25 = -139.75 20.25 + 9x + x2 = -139.75 Factor a perfect square on the left side: (x + 4.5)(x + 4.5) = -139.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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