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Simplifying 9r2 + 10r + 60 = 0 Reorder the terms: 60 + 10r + 9r2 = 0 Solving 60 + 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'. 6.666666667 + 1.111111111r + r2 = 0 Move the constant term to the right: Add '-6.666666667' to each side of the equation. 6.666666667 + 1.111111111r + -6.666666667 + r2 = 0 + -6.666666667 Reorder the terms: 6.666666667 + -6.666666667 + 1.111111111r + r2 = 0 + -6.666666667 Combine like terms: 6.666666667 + -6.666666667 = 0.000000000 0.000000000 + 1.111111111r + r2 = 0 + -6.666666667 1.111111111r + r2 = 0 + -6.666666667 Combine like terms: 0 + -6.666666667 = -6.666666667 1.111111111r + r2 = -6.666666667 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 = -6.666666667 + 0.3086419752 Reorder the terms: 0.3086419752 + 1.111111111r + r2 = -6.666666667 + 0.3086419752 Combine like terms: -6.666666667 + 0.3086419752 = -6.3580246918 0.3086419752 + 1.111111111r + r2 = -6.3580246918 Factor a perfect square on the left side: (r + 0.5555555555)(r + 0.5555555555) = -6.3580246918 Can't calculate square root of the right side. The solution to this equation could not be determined.
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