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Simplifying 0 = r2 + -2r + 35 Reorder the terms: 0 = 35 + -2r + r2 Solving 0 = 35 + -2r + r2 Solving for variable 'r'. Combine like terms: 0 + -35 = -35 -35 + 2r + -1r2 = 35 + -2r + r2 + -35 + 2r + -1r2 Reorder the terms: -35 + 2r + -1r2 = 35 + -35 + -2r + 2r + r2 + -1r2 Combine like terms: 35 + -35 = 0 -35 + 2r + -1r2 = 0 + -2r + 2r + r2 + -1r2 -35 + 2r + -1r2 = -2r + 2r + r2 + -1r2 Combine like terms: -2r + 2r = 0 -35 + 2r + -1r2 = 0 + r2 + -1r2 -35 + 2r + -1r2 = r2 + -1r2 Combine like terms: r2 + -1r2 = 0 -35 + 2r + -1r2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 35 + -2r + r2 = 0 Move the constant term to the right: Add '-35' to each side of the equation. 35 + -2r + -35 + r2 = 0 + -35 Reorder the terms: 35 + -35 + -2r + r2 = 0 + -35 Combine like terms: 35 + -35 = 0 0 + -2r + r2 = 0 + -35 -2r + r2 = 0 + -35 Combine like terms: 0 + -35 = -35 -2r + r2 = -35 The r term is -2r. Take half its coefficient (-1). Square it (1) and add it to both sides. Add '1' to each side of the equation. -2r + 1 + r2 = -35 + 1 Reorder the terms: 1 + -2r + r2 = -35 + 1 Combine like terms: -35 + 1 = -34 1 + -2r + r2 = -34 Factor a perfect square on the left side: (r + -1)(r + -1) = -34 Can't calculate square root of the right side. The solution to this equation could not be determined.
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