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Simplifying x2 + -27x + 208 = 0 Reorder the terms: 208 + -27x + x2 = 0 Solving 208 + -27x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-208' to each side of the equation. 208 + -27x + -208 + x2 = 0 + -208 Reorder the terms: 208 + -208 + -27x + x2 = 0 + -208 Combine like terms: 208 + -208 = 0 0 + -27x + x2 = 0 + -208 -27x + x2 = 0 + -208 Combine like terms: 0 + -208 = -208 -27x + x2 = -208 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 = -208 + 182.25 Reorder the terms: 182.25 + -27x + x2 = -208 + 182.25 Combine like terms: -208 + 182.25 = -25.75 182.25 + -27x + x2 = -25.75 Factor a perfect square on the left side: (x + -13.5)(x + -13.5) = -25.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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