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Simplifying 25 = 2r + -11 + -1r2 Reorder the terms: 25 = -11 + 2r + -1r2 Solving 25 = -11 + 2r + -1r2 Solving for variable 'r'. Combine like terms: 25 + 11 = 36 36 + -2r + r2 = -11 + 2r + -1r2 + 11 + -2r + r2 Reorder the terms: 36 + -2r + r2 = -11 + 11 + 2r + -2r + -1r2 + r2 Combine like terms: -11 + 11 = 0 36 + -2r + r2 = 0 + 2r + -2r + -1r2 + r2 36 + -2r + r2 = 2r + -2r + -1r2 + r2 Combine like terms: 2r + -2r = 0 36 + -2r + r2 = 0 + -1r2 + r2 36 + -2r + r2 = -1r2 + r2 Combine like terms: -1r2 + r2 = 0 36 + -2r + r2 = 0 Begin completing the square. Move the constant term to the right: Add '-36' to each side of the equation. 36 + -2r + -36 + r2 = 0 + -36 Reorder the terms: 36 + -36 + -2r + r2 = 0 + -36 Combine like terms: 36 + -36 = 0 0 + -2r + r2 = 0 + -36 -2r + r2 = 0 + -36 Combine like terms: 0 + -36 = -36 -2r + r2 = -36 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 = -36 + 1 Reorder the terms: 1 + -2r + r2 = -36 + 1 Combine like terms: -36 + 1 = -35 1 + -2r + r2 = -35 Factor a perfect square on the left side: (r + -1)(r + -1) = -35 Can't calculate square root of the right side. The solution to this equation could not be determined.
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