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Simplifying -1x2 + 20x + -98 = x Reorder the terms: -98 + 20x + -1x2 = x Solving -98 + 20x + -1x2 = x Solving for variable 'x'. Reorder the terms: -98 + 20x + -1x + -1x2 = x + -1x Combine like terms: 20x + -1x = 19x -98 + 19x + -1x2 = x + -1x Combine like terms: x + -1x = 0 -98 + 19x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 98 + -19x + x2 = 0 Move the constant term to the right: Add '-98' to each side of the equation. 98 + -19x + -98 + x2 = 0 + -98 Reorder the terms: 98 + -98 + -19x + x2 = 0 + -98 Combine like terms: 98 + -98 = 0 0 + -19x + x2 = 0 + -98 -19x + x2 = 0 + -98 Combine like terms: 0 + -98 = -98 -19x + x2 = -98 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 = -98 + 90.25 Reorder the terms: 90.25 + -19x + x2 = -98 + 90.25 Combine like terms: -98 + 90.25 = -7.75 90.25 + -19x + x2 = -7.75 Factor a perfect square on the left side: (x + -9.5)(x + -9.5) = -7.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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