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Simplifying r2 + 35 = -2r Reorder the terms: 35 + r2 = -2r Solving 35 + r2 = -2r Solving for variable 'r'. Reorder the terms: 35 + 2r + r2 = -2r + 2r Combine like terms: -2r + 2r = 0 35 + 2r + r2 = 0 Begin completing the square. 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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