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Simplifying x2 + 49x + 2592 = 0 Reorder the terms: 2592 + 49x + x2 = 0 Solving 2592 + 49x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-2592' to each side of the equation. 2592 + 49x + -2592 + x2 = 0 + -2592 Reorder the terms: 2592 + -2592 + 49x + x2 = 0 + -2592 Combine like terms: 2592 + -2592 = 0 0 + 49x + x2 = 0 + -2592 49x + x2 = 0 + -2592 Combine like terms: 0 + -2592 = -2592 49x + x2 = -2592 The x term is 49x. Take half its coefficient (24.5). Square it (600.25) and add it to both sides. Add '600.25' to each side of the equation. 49x + 600.25 + x2 = -2592 + 600.25 Reorder the terms: 600.25 + 49x + x2 = -2592 + 600.25 Combine like terms: -2592 + 600.25 = -1991.75 600.25 + 49x + x2 = -1991.75 Factor a perfect square on the left side: (x + 24.5)(x + 24.5) = -1991.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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