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Simplifying r2 + -3r = -196 Reorder the terms: -3r + r2 = -196 Solving -3r + r2 = -196 Solving for variable 'r'. Reorder the terms: 196 + -3r + r2 = -196 + 196 Combine like terms: -196 + 196 = 0 196 + -3r + r2 = 0 Begin completing the square. Move the constant term to the right: Add '-196' to each side of the equation. 196 + -3r + -196 + r2 = 0 + -196 Reorder the terms: 196 + -196 + -3r + r2 = 0 + -196 Combine like terms: 196 + -196 = 0 0 + -3r + r2 = 0 + -196 -3r + r2 = 0 + -196 Combine like terms: 0 + -196 = -196 -3r + r2 = -196 The r term is -3r. Take half its coefficient (-1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. -3r + 2.25 + r2 = -196 + 2.25 Reorder the terms: 2.25 + -3r + r2 = -196 + 2.25 Combine like terms: -196 + 2.25 = -193.75 2.25 + -3r + r2 = -193.75 Factor a perfect square on the left side: (r + -1.5)(r + -1.5) = -193.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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