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Simplifying 11r2 + -9r + 3 = 0 Reorder the terms: 3 + -9r + 11r2 = 0 Solving 3 + -9r + 11r2 = 0 Solving for variable 'r'. Begin completing the square. Divide all terms by 11 the coefficient of the squared term: Divide each side by '11'. 0.2727272727 + -0.8181818182r + r2 = 0 Move the constant term to the right: Add '-0.2727272727' to each side of the equation. 0.2727272727 + -0.8181818182r + -0.2727272727 + r2 = 0 + -0.2727272727 Reorder the terms: 0.2727272727 + -0.2727272727 + -0.8181818182r + r2 = 0 + -0.2727272727 Combine like terms: 0.2727272727 + -0.2727272727 = 0.0000000000 0.0000000000 + -0.8181818182r + r2 = 0 + -0.2727272727 -0.8181818182r + r2 = 0 + -0.2727272727 Combine like terms: 0 + -0.2727272727 = -0.2727272727 -0.8181818182r + r2 = -0.2727272727 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 = -0.2727272727 + 0.1673553719 Reorder the terms: 0.1673553719 + -0.8181818182r + r2 = -0.2727272727 + 0.1673553719 Combine like terms: -0.2727272727 + 0.1673553719 = -0.1053719008 0.1673553719 + -0.8181818182r + r2 = -0.1053719008 Factor a perfect square on the left side: (r + -0.4090909091)(r + -0.4090909091) = -0.1053719008 Can't calculate square root of the right side. The solution to this equation could not be determined.
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