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Simplifying 0 = x2 + -35x + 322 Reorder the terms: 0 = 322 + -35x + x2 Solving 0 = 322 + -35x + x2 Solving for variable 'x'. Combine like terms: 0 + -322 = -322 -322 + 35x + -1x2 = 322 + -35x + x2 + -322 + 35x + -1x2 Reorder the terms: -322 + 35x + -1x2 = 322 + -322 + -35x + 35x + x2 + -1x2 Combine like terms: 322 + -322 = 0 -322 + 35x + -1x2 = 0 + -35x + 35x + x2 + -1x2 -322 + 35x + -1x2 = -35x + 35x + x2 + -1x2 Combine like terms: -35x + 35x = 0 -322 + 35x + -1x2 = 0 + x2 + -1x2 -322 + 35x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -322 + 35x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 322 + -35x + x2 = 0 Move the constant term to the right: Add '-322' to each side of the equation. 322 + -35x + -322 + x2 = 0 + -322 Reorder the terms: 322 + -322 + -35x + x2 = 0 + -322 Combine like terms: 322 + -322 = 0 0 + -35x + x2 = 0 + -322 -35x + x2 = 0 + -322 Combine like terms: 0 + -322 = -322 -35x + x2 = -322 The x term is -35x. Take half its coefficient (-17.5). Square it (306.25) and add it to both sides. Add '306.25' to each side of the equation. -35x + 306.25 + x2 = -322 + 306.25 Reorder the terms: 306.25 + -35x + x2 = -322 + 306.25 Combine like terms: -322 + 306.25 = -15.75 306.25 + -35x + x2 = -15.75 Factor a perfect square on the left side: (x + -17.5)(x + -17.5) = -15.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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