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Simplifying -1x2 + 5x + -85 = 0 Reorder the terms: -85 + 5x + -1x2 = 0 Solving -85 + 5x + -1x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 85 + -5x + x2 = 0 Move the constant term to the right: Add '-85' to each side of the equation. 85 + -5x + -85 + x2 = 0 + -85 Reorder the terms: 85 + -85 + -5x + x2 = 0 + -85 Combine like terms: 85 + -85 = 0 0 + -5x + x2 = 0 + -85 -5x + x2 = 0 + -85 Combine like terms: 0 + -85 = -85 -5x + x2 = -85 The x term is -5x. Take half its coefficient (-2.5). Square it (6.25) and add it to both sides. Add '6.25' to each side of the equation. -5x + 6.25 + x2 = -85 + 6.25 Reorder the terms: 6.25 + -5x + x2 = -85 + 6.25 Combine like terms: -85 + 6.25 = -78.75 6.25 + -5x + x2 = -78.75 Factor a perfect square on the left side: (x + -2.5)(x + -2.5) = -78.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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