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Simplifying 13 + -7r = -9r + -9 + -7r2 Reorder the terms: 13 + -7r = -9 + -9r + -7r2 Solving 13 + -7r = -9 + -9r + -7r2 Solving for variable 'r'. Reorder the terms: 13 + 9 + -7r + 9r + 7r2 = -9 + -9r + -7r2 + 9 + 9r + 7r2 Combine like terms: 13 + 9 = 22 22 + -7r + 9r + 7r2 = -9 + -9r + -7r2 + 9 + 9r + 7r2 Combine like terms: -7r + 9r = 2r 22 + 2r + 7r2 = -9 + -9r + -7r2 + 9 + 9r + 7r2 Reorder the terms: 22 + 2r + 7r2 = -9 + 9 + -9r + 9r + -7r2 + 7r2 Combine like terms: -9 + 9 = 0 22 + 2r + 7r2 = 0 + -9r + 9r + -7r2 + 7r2 22 + 2r + 7r2 = -9r + 9r + -7r2 + 7r2 Combine like terms: -9r + 9r = 0 22 + 2r + 7r2 = 0 + -7r2 + 7r2 22 + 2r + 7r2 = -7r2 + 7r2 Combine like terms: -7r2 + 7r2 = 0 22 + 2r + 7r2 = 0 Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 3.142857143 + 0.2857142857r + r2 = 0 Move the constant term to the right: Add '-3.142857143' to each side of the equation. 3.142857143 + 0.2857142857r + -3.142857143 + r2 = 0 + -3.142857143 Reorder the terms: 3.142857143 + -3.142857143 + 0.2857142857r + r2 = 0 + -3.142857143 Combine like terms: 3.142857143 + -3.142857143 = 0.000000000 0.000000000 + 0.2857142857r + r2 = 0 + -3.142857143 0.2857142857r + r2 = 0 + -3.142857143 Combine like terms: 0 + -3.142857143 = -3.142857143 0.2857142857r + r2 = -3.142857143 The r term is 0.2857142857r. Take half its coefficient (0.1428571429). Square it (0.02040816328) and add it to both sides. Add '0.02040816328' to each side of the equation. 0.2857142857r + 0.02040816328 + r2 = -3.142857143 + 0.02040816328 Reorder the terms: 0.02040816328 + 0.2857142857r + r2 = -3.142857143 + 0.02040816328 Combine like terms: -3.142857143 + 0.02040816328 = -3.12244897972 0.02040816328 + 0.2857142857r + r2 = -3.12244897972 Factor a perfect square on the left side: (r + 0.1428571429)(r + 0.1428571429) = -3.12244897972 Can't calculate square root of the right side. The solution to this equation could not be determined.
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