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Simplifying r2 + 10r + 100 = 0 Reorder the terms: 100 + 10r + r2 = 0 Solving 100 + 10r + r2 = 0 Solving for variable 'r'. Begin completing the square. Move the constant term to the right: Add '-100' to each side of the equation. 100 + 10r + -100 + r2 = 0 + -100 Reorder the terms: 100 + -100 + 10r + r2 = 0 + -100 Combine like terms: 100 + -100 = 0 0 + 10r + r2 = 0 + -100 10r + r2 = 0 + -100 Combine like terms: 0 + -100 = -100 10r + r2 = -100 The r term is 10r. Take half its coefficient (5). Square it (25) and add it to both sides. Add '25' to each side of the equation. 10r + 25 + r2 = -100 + 25 Reorder the terms: 25 + 10r + r2 = -100 + 25 Combine like terms: -100 + 25 = -75 25 + 10r + r2 = -75 Factor a perfect square on the left side: (r + 5)(r + 5) = -75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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