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Simplifying x2 + 27x + 729 = 0 Reorder the terms: 729 + 27x + x2 = 0 Solving 729 + 27x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-729' to each side of the equation. 729 + 27x + -729 + x2 = 0 + -729 Reorder the terms: 729 + -729 + 27x + x2 = 0 + -729 Combine like terms: 729 + -729 = 0 0 + 27x + x2 = 0 + -729 27x + x2 = 0 + -729 Combine like terms: 0 + -729 = -729 27x + x2 = -729 The x term is 27x. Take half its coefficient (13.5). Square it (182.25) and add it to both sides. Add '182.25' to each side of the equation. 27x + 182.25 + x2 = -729 + 182.25 Reorder the terms: 182.25 + 27x + x2 = -729 + 182.25 Combine like terms: -729 + 182.25 = -546.75 182.25 + 27x + x2 = -546.75 Factor a perfect square on the left side: (x + 13.5)(x + 13.5) = -546.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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