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Simplifying 4x2 + -76x + 529 = 0 Reorder the terms: 529 + -76x + 4x2 = 0 Solving 529 + -76x + 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'. 132.25 + -19x + x2 = 0 Move the constant term to the right: Add '-132.25' to each side of the equation. 132.25 + -19x + -132.25 + x2 = 0 + -132.25 Reorder the terms: 132.25 + -132.25 + -19x + x2 = 0 + -132.25 Combine like terms: 132.25 + -132.25 = 0.00 0.00 + -19x + x2 = 0 + -132.25 -19x + x2 = 0 + -132.25 Combine like terms: 0 + -132.25 = -132.25 -19x + x2 = -132.25 The x term is -19x. Take half its coefficient (-9.5). Square it (90.25) and add it to both sides. Add '90.25' to each side of the equation. -19x + 90.25 + x2 = -132.25 + 90.25 Reorder the terms: 90.25 + -19x + x2 = -132.25 + 90.25 Combine like terms: -132.25 + 90.25 = -42 90.25 + -19x + x2 = -42 Factor a perfect square on the left side: (x + -9.5)(x + -9.5) = -42 Can't calculate square root of the right side. The solution to this equation could not be determined.
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