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Simplifying r2 + -8r + 48 = 4 Reorder the terms: 48 + -8r + r2 = 4 Solving 48 + -8r + r2 = 4 Solving for variable 'r'. Reorder the terms: 48 + -4 + -8r + r2 = 4 + -4 Combine like terms: 48 + -4 = 44 44 + -8r + r2 = 4 + -4 Combine like terms: 4 + -4 = 0 44 + -8r + r2 = 0 Begin completing the square. Move the constant term to the right: Add '-44' to each side of the equation. 44 + -8r + -44 + r2 = 0 + -44 Reorder the terms: 44 + -44 + -8r + r2 = 0 + -44 Combine like terms: 44 + -44 = 0 0 + -8r + r2 = 0 + -44 -8r + r2 = 0 + -44 Combine like terms: 0 + -44 = -44 -8r + r2 = -44 The r term is -8r. Take half its coefficient (-4). Square it (16) and add it to both sides. Add '16' to each side of the equation. -8r + 16 + r2 = -44 + 16 Reorder the terms: 16 + -8r + r2 = -44 + 16 Combine like terms: -44 + 16 = -28 16 + -8r + r2 = -28 Factor a perfect square on the left side: (r + -4)(r + -4) = -28 Can't calculate square root of the right side. The solution to this equation could not be determined.
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