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Simplifying 4x2 + 17x + 29 = 0 Reorder the terms: 29 + 17x + 4x2 = 0 Solving 29 + 17x + 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'. 7.25 + 4.25x + x2 = 0 Move the constant term to the right: Add '-7.25' to each side of the equation. 7.25 + 4.25x + -7.25 + x2 = 0 + -7.25 Reorder the terms: 7.25 + -7.25 + 4.25x + x2 = 0 + -7.25 Combine like terms: 7.25 + -7.25 = 0.00 0.00 + 4.25x + x2 = 0 + -7.25 4.25x + x2 = 0 + -7.25 Combine like terms: 0 + -7.25 = -7.25 4.25x + x2 = -7.25 The x term is 4.25x. Take half its coefficient (2.125). Square it (4.515625) and add it to both sides. Add '4.515625' to each side of the equation. 4.25x + 4.515625 + x2 = -7.25 + 4.515625 Reorder the terms: 4.515625 + 4.25x + x2 = -7.25 + 4.515625 Combine like terms: -7.25 + 4.515625 = -2.734375 4.515625 + 4.25x + x2 = -2.734375 Factor a perfect square on the left side: (x + 2.125)(x + 2.125) = -2.734375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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