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Simplifying 7r2 + -2r + -7 = -8 Reorder the terms: -7 + -2r + 7r2 = -8 Solving -7 + -2r + 7r2 = -8 Solving for variable 'r'. Reorder the terms: -7 + 8 + -2r + 7r2 = -8 + 8 Combine like terms: -7 + 8 = 1 1 + -2r + 7r2 = -8 + 8 Combine like terms: -8 + 8 = 0 1 + -2r + 7r2 = 0 Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 0.1428571429 + -0.2857142857r + r2 = 0 Move the constant term to the right: Add '-0.1428571429' to each side of the equation. 0.1428571429 + -0.2857142857r + -0.1428571429 + r2 = 0 + -0.1428571429 Reorder the terms: 0.1428571429 + -0.1428571429 + -0.2857142857r + r2 = 0 + -0.1428571429 Combine like terms: 0.1428571429 + -0.1428571429 = 0.0000000000 0.0000000000 + -0.2857142857r + r2 = 0 + -0.1428571429 -0.2857142857r + r2 = 0 + -0.1428571429 Combine like terms: 0 + -0.1428571429 = -0.1428571429 -0.2857142857r + r2 = -0.1428571429 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 = -0.1428571429 + 0.02040816328 Reorder the terms: 0.02040816328 + -0.2857142857r + r2 = -0.1428571429 + 0.02040816328 Combine like terms: -0.1428571429 + 0.02040816328 = -0.12244897962 0.02040816328 + -0.2857142857r + r2 = -0.12244897962 Factor a perfect square on the left side: (r + -0.1428571429)(r + -0.1428571429) = -0.12244897962 Can't calculate square root of the right side. The solution to this equation could not be determined.
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