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Simplifying r2 + 12r + 52 = 0 Reorder the terms: 52 + 12r + r2 = 0 Solving 52 + 12r + r2 = 0 Solving for variable 'r'. Begin completing the square. Move the constant term to the right: Add '-52' to each side of the equation. 52 + 12r + -52 + r2 = 0 + -52 Reorder the terms: 52 + -52 + 12r + r2 = 0 + -52 Combine like terms: 52 + -52 = 0 0 + 12r + r2 = 0 + -52 12r + r2 = 0 + -52 Combine like terms: 0 + -52 = -52 12r + r2 = -52 The r term is 12r. Take half its coefficient (6). Square it (36) and add it to both sides. Add '36' to each side of the equation. 12r + 36 + r2 = -52 + 36 Reorder the terms: 36 + 12r + r2 = -52 + 36 Combine like terms: -52 + 36 = -16 36 + 12r + r2 = -16 Factor a perfect square on the left side: (r + 6)(r + 6) = -16 Can't calculate square root of the right side. The solution to this equation could not be determined.
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