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Simplifying r2 + 16 = 2 + r Reorder the terms: 16 + r2 = 2 + r Solving 16 + r2 = 2 + r Solving for variable 'r'. Reorder the terms: 16 + -2 + -1r + r2 = 2 + r + -2 + -1r Combine like terms: 16 + -2 = 14 14 + -1r + r2 = 2 + r + -2 + -1r Reorder the terms: 14 + -1r + r2 = 2 + -2 + r + -1r Combine like terms: 2 + -2 = 0 14 + -1r + r2 = 0 + r + -1r 14 + -1r + r2 = r + -1r Combine like terms: r + -1r = 0 14 + -1r + r2 = 0 Begin completing the square. Move the constant term to the right: Add '-14' to each side of the equation. 14 + -1r + -14 + r2 = 0 + -14 Reorder the terms: 14 + -14 + -1r + r2 = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -1r + r2 = 0 + -14 -1r + r2 = 0 + -14 Combine like terms: 0 + -14 = -14 -1r + r2 = -14 The r term is -1r. Take half its coefficient (-0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -1r + 0.25 + r2 = -14 + 0.25 Reorder the terms: 0.25 + -1r + r2 = -14 + 0.25 Combine like terms: -14 + 0.25 = -13.75 0.25 + -1r + r2 = -13.75 Factor a perfect square on the left side: (r + -0.5)(r + -0.5) = -13.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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