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Simplifying 11r2 + 9 = 9r Reorder the terms: 9 + 11r2 = 9r Solving 9 + 11r2 = 9r Solving for variable 'r'. Reorder the terms: 9 + -9r + 11r2 = 9r + -9r Combine like terms: 9r + -9r = 0 9 + -9r + 11r2 = 0 Begin completing the square. Divide all terms by 11 the coefficient of the squared term: Divide each side by '11'. 0.8181818182 + -0.8181818182r + r2 = 0 Move the constant term to the right: Add '-0.8181818182' to each side of the equation. 0.8181818182 + -0.8181818182r + -0.8181818182 + r2 = 0 + -0.8181818182 Reorder the terms: 0.8181818182 + -0.8181818182 + -0.8181818182r + r2 = 0 + -0.8181818182 Combine like terms: 0.8181818182 + -0.8181818182 = 0.0000000000 0.0000000000 + -0.8181818182r + r2 = 0 + -0.8181818182 -0.8181818182r + r2 = 0 + -0.8181818182 Combine like terms: 0 + -0.8181818182 = -0.8181818182 -0.8181818182r + r2 = -0.8181818182 The r term is -0.8181818182r. Take half its coefficient (-0.4090909091). Square it (0.1673553719) and add it to both sides. Add '0.1673553719' to each side of the equation. -0.8181818182r + 0.1673553719 + r2 = -0.8181818182 + 0.1673553719 Reorder the terms: 0.1673553719 + -0.8181818182r + r2 = -0.8181818182 + 0.1673553719 Combine like terms: -0.8181818182 + 0.1673553719 = -0.6508264463 0.1673553719 + -0.8181818182r + r2 = -0.6508264463 Factor a perfect square on the left side: (r + -0.4090909091)(r + -0.4090909091) = -0.6508264463 Can't calculate square root of the right side. The solution to this equation could not be determined.
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