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Simplifying r2 + -20r + 1125 = 0 Reorder the terms: 1125 + -20r + r2 = 0 Solving 1125 + -20r + r2 = 0 Solving for variable 'r'. Begin completing the square. Move the constant term to the right: Add '-1125' to each side of the equation. 1125 + -20r + -1125 + r2 = 0 + -1125 Reorder the terms: 1125 + -1125 + -20r + r2 = 0 + -1125 Combine like terms: 1125 + -1125 = 0 0 + -20r + r2 = 0 + -1125 -20r + r2 = 0 + -1125 Combine like terms: 0 + -1125 = -1125 -20r + r2 = -1125 The r term is -20r. Take half its coefficient (-10). Square it (100) and add it to both sides. Add '100' to each side of the equation. -20r + 100 + r2 = -1125 + 100 Reorder the terms: 100 + -20r + r2 = -1125 + 100 Combine like terms: -1125 + 100 = -1025 100 + -20r + r2 = -1025 Factor a perfect square on the left side: (r + -10)(r + -10) = -1025 Can't calculate square root of the right side. The solution to this equation could not be determined.
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