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Simplifying 9r2 + 10r + 9 = 0 Reorder the terms: 9 + 10r + 9r2 = 0 Solving 9 + 10r + 9r2 = 0 Solving for variable 'r'. Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 1 + 1.111111111r + r2 = 0 Move the constant term to the right: Add '-1' to each side of the equation. 1 + 1.111111111r + -1 + r2 = 0 + -1 Reorder the terms: 1 + -1 + 1.111111111r + r2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 1.111111111r + r2 = 0 + -1 1.111111111r + r2 = 0 + -1 Combine like terms: 0 + -1 = -1 1.111111111r + r2 = -1 The r term is 1.111111111r. Take half its coefficient (0.5555555555). Square it (0.3086419752) and add it to both sides. Add '0.3086419752' to each side of the equation. 1.111111111r + 0.3086419752 + r2 = -1 + 0.3086419752 Reorder the terms: 0.3086419752 + 1.111111111r + r2 = -1 + 0.3086419752 Combine like terms: -1 + 0.3086419752 = -0.6913580248 0.3086419752 + 1.111111111r + r2 = -0.6913580248 Factor a perfect square on the left side: (r + 0.5555555555)(r + 0.5555555555) = -0.6913580248 Can't calculate square root of the right side. The solution to this equation could not be determined.
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