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Simplifying 4x2 + 27x + 77 = 0 Reorder the terms: 77 + 27x + 4x2 = 0 Solving 77 + 27x + 4x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 19.25 + 6.75x + x2 = 0 Move the constant term to the right: Add '-19.25' to each side of the equation. 19.25 + 6.75x + -19.25 + x2 = 0 + -19.25 Reorder the terms: 19.25 + -19.25 + 6.75x + x2 = 0 + -19.25 Combine like terms: 19.25 + -19.25 = 0.00 0.00 + 6.75x + x2 = 0 + -19.25 6.75x + x2 = 0 + -19.25 Combine like terms: 0 + -19.25 = -19.25 6.75x + x2 = -19.25 The x term is 6.75x. Take half its coefficient (3.375). Square it (11.390625) and add it to both sides. Add '11.390625' to each side of the equation. 6.75x + 11.390625 + x2 = -19.25 + 11.390625 Reorder the terms: 11.390625 + 6.75x + x2 = -19.25 + 11.390625 Combine like terms: -19.25 + 11.390625 = -7.859375 11.390625 + 6.75x + x2 = -7.859375 Factor a perfect square on the left side: (x + 3.375)(x + 3.375) = -7.859375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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