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Simplifying -1x(x + -5) + 7 + -35 = 0 Reorder the terms: -1x(-5 + x) + 7 + -35 = 0 (-5 * -1x + x * -1x) + 7 + -35 = 0 (5x + -1x2) + 7 + -35 = 0 Reorder the terms: 7 + -35 + 5x + -1x2 = 0 Combine like terms: 7 + -35 = -28 -28 + 5x + -1x2 = 0 Solving -28 + 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'. 28 + -5x + x2 = 0 Move the constant term to the right: Add '-28' to each side of the equation. 28 + -5x + -28 + x2 = 0 + -28 Reorder the terms: 28 + -28 + -5x + x2 = 0 + -28 Combine like terms: 28 + -28 = 0 0 + -5x + x2 = 0 + -28 -5x + x2 = 0 + -28 Combine like terms: 0 + -28 = -28 -5x + x2 = -28 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 = -28 + 6.25 Reorder the terms: 6.25 + -5x + x2 = -28 + 6.25 Combine like terms: -28 + 6.25 = -21.75 6.25 + -5x + x2 = -21.75 Factor a perfect square on the left side: (x + -2.5)(x + -2.5) = -21.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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