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Simplifying 4x2 + 107x + 929 = 0 Reorder the terms: 929 + 107x + 4x2 = 0 Solving 929 + 107x + 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'. 232.25 + 26.75x + x2 = 0 Move the constant term to the right: Add '-232.25' to each side of the equation. 232.25 + 26.75x + -232.25 + x2 = 0 + -232.25 Reorder the terms: 232.25 + -232.25 + 26.75x + x2 = 0 + -232.25 Combine like terms: 232.25 + -232.25 = 0.00 0.00 + 26.75x + x2 = 0 + -232.25 26.75x + x2 = 0 + -232.25 Combine like terms: 0 + -232.25 = -232.25 26.75x + x2 = -232.25 The x term is 26.75x. Take half its coefficient (13.375). Square it (178.890625) and add it to both sides. Add '178.890625' to each side of the equation. 26.75x + 178.890625 + x2 = -232.25 + 178.890625 Reorder the terms: 178.890625 + 26.75x + x2 = -232.25 + 178.890625 Combine like terms: -232.25 + 178.890625 = -53.359375 178.890625 + 26.75x + x2 = -53.359375 Factor a perfect square on the left side: (x + 13.375)(x + 13.375) = -53.359375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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