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Simplifying 5x + -10 = x2 + 71 Reorder the terms: -10 + 5x = x2 + 71 Reorder the terms: -10 + 5x = 71 + x2 Solving -10 + 5x = 71 + x2 Solving for variable 'x'. Reorder the terms: -10 + -71 + 5x + -1x2 = 71 + x2 + -71 + -1x2 Combine like terms: -10 + -71 = -81 -81 + 5x + -1x2 = 71 + x2 + -71 + -1x2 Reorder the terms: -81 + 5x + -1x2 = 71 + -71 + x2 + -1x2 Combine like terms: 71 + -71 = 0 -81 + 5x + -1x2 = 0 + x2 + -1x2 -81 + 5x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -81 + 5x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 81 + -5x + x2 = 0 Move the constant term to the right: Add '-81' to each side of the equation. 81 + -5x + -81 + x2 = 0 + -81 Reorder the terms: 81 + -81 + -5x + x2 = 0 + -81 Combine like terms: 81 + -81 = 0 0 + -5x + x2 = 0 + -81 -5x + x2 = 0 + -81 Combine like terms: 0 + -81 = -81 -5x + x2 = -81 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 = -81 + 6.25 Reorder the terms: 6.25 + -5x + x2 = -81 + 6.25 Combine like terms: -81 + 6.25 = -74.75 6.25 + -5x + x2 = -74.75 Factor a perfect square on the left side: (x + -2.5)(x + -2.5) = -74.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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