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Simplifying r2 + -14r + 83 = -2 Reorder the terms: 83 + -14r + r2 = -2 Solving 83 + -14r + r2 = -2 Solving for variable 'r'. Reorder the terms: 83 + 2 + -14r + r2 = -2 + 2 Combine like terms: 83 + 2 = 85 85 + -14r + r2 = -2 + 2 Combine like terms: -2 + 2 = 0 85 + -14r + r2 = 0 Begin completing the square. Move the constant term to the right: Add '-85' to each side of the equation. 85 + -14r + -85 + r2 = 0 + -85 Reorder the terms: 85 + -85 + -14r + r2 = 0 + -85 Combine like terms: 85 + -85 = 0 0 + -14r + r2 = 0 + -85 -14r + r2 = 0 + -85 Combine like terms: 0 + -85 = -85 -14r + r2 = -85 The r term is -14r. Take half its coefficient (-7). Square it (49) and add it to both sides. Add '49' to each side of the equation. -14r + 49 + r2 = -85 + 49 Reorder the terms: 49 + -14r + r2 = -85 + 49 Combine like terms: -85 + 49 = -36 49 + -14r + r2 = -36 Factor a perfect square on the left side: (r + -7)(r + -7) = -36 Can't calculate square root of the right side. The solution to this equation could not be determined.
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