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Simplifying 4x2 + 47x + 585 = 0 Reorder the terms: 585 + 47x + 4x2 = 0 Solving 585 + 47x + 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'. 146.25 + 11.75x + x2 = 0 Move the constant term to the right: Add '-146.25' to each side of the equation. 146.25 + 11.75x + -146.25 + x2 = 0 + -146.25 Reorder the terms: 146.25 + -146.25 + 11.75x + x2 = 0 + -146.25 Combine like terms: 146.25 + -146.25 = 0.00 0.00 + 11.75x + x2 = 0 + -146.25 11.75x + x2 = 0 + -146.25 Combine like terms: 0 + -146.25 = -146.25 11.75x + x2 = -146.25 The x term is 11.75x. Take half its coefficient (5.875). Square it (34.515625) and add it to both sides. Add '34.515625' to each side of the equation. 11.75x + 34.515625 + x2 = -146.25 + 34.515625 Reorder the terms: 34.515625 + 11.75x + x2 = -146.25 + 34.515625 Combine like terms: -146.25 + 34.515625 = -111.734375 34.515625 + 11.75x + x2 = -111.734375 Factor a perfect square on the left side: (x + 5.875)(x + 5.875) = -111.734375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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