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Simplifying 10r2 + -9r + 27 = 0 Reorder the terms: 27 + -9r + 10r2 = 0 Solving 27 + -9r + 10r2 = 0 Solving for variable 'r'. Begin completing the square. Divide all terms by 10 the coefficient of the squared term: Divide each side by '10'. 2.7 + -0.9r + r2 = 0 Move the constant term to the right: Add '-2.7' to each side of the equation. 2.7 + -0.9r + -2.7 + r2 = 0 + -2.7 Reorder the terms: 2.7 + -2.7 + -0.9r + r2 = 0 + -2.7 Combine like terms: 2.7 + -2.7 = 0.0 0.0 + -0.9r + r2 = 0 + -2.7 -0.9r + r2 = 0 + -2.7 Combine like terms: 0 + -2.7 = -2.7 -0.9r + r2 = -2.7 The r term is -0.9r. Take half its coefficient (-0.45). Square it (0.2025) and add it to both sides. Add '0.2025' to each side of the equation. -0.9r + 0.2025 + r2 = -2.7 + 0.2025 Reorder the terms: 0.2025 + -0.9r + r2 = -2.7 + 0.2025 Combine like terms: -2.7 + 0.2025 = -2.4975 0.2025 + -0.9r + r2 = -2.4975 Factor a perfect square on the left side: (r + -0.45)(r + -0.45) = -2.4975 Can't calculate square root of the right side. The solution to this equation could not be determined.
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