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Simplifying r2 + 20r + 2600 = 0 Reorder the terms: 2600 + 20r + r2 = 0 Solving 2600 + 20r + r2 = 0 Solving for variable 'r'. Begin completing the square. Move the constant term to the right: Add '-2600' to each side of the equation. 2600 + 20r + -2600 + r2 = 0 + -2600 Reorder the terms: 2600 + -2600 + 20r + r2 = 0 + -2600 Combine like terms: 2600 + -2600 = 0 0 + 20r + r2 = 0 + -2600 20r + r2 = 0 + -2600 Combine like terms: 0 + -2600 = -2600 20r + r2 = -2600 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 = -2600 + 100 Reorder the terms: 100 + 20r + r2 = -2600 + 100 Combine like terms: -2600 + 100 = -2500 100 + 20r + r2 = -2500 Factor a perfect square on the left side: (r + 10)(r + 10) = -2500 Can't calculate square root of the right side. The solution to this equation could not be determined.
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