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Simplifying 7r2 + -1r + 11 = 0 Reorder the terms: 11 + -1r + 7r2 = 0 Solving 11 + -1r + 7r2 = 0 Solving for variable 'r'. Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 1.571428571 + -0.1428571429r + r2 = 0 Move the constant term to the right: Add '-1.571428571' to each side of the equation. 1.571428571 + -0.1428571429r + -1.571428571 + r2 = 0 + -1.571428571 Reorder the terms: 1.571428571 + -1.571428571 + -0.1428571429r + r2 = 0 + -1.571428571 Combine like terms: 1.571428571 + -1.571428571 = 0.000000000 0.000000000 + -0.1428571429r + r2 = 0 + -1.571428571 -0.1428571429r + r2 = 0 + -1.571428571 Combine like terms: 0 + -1.571428571 = -1.571428571 -0.1428571429r + r2 = -1.571428571 The r term is -0.1428571429r. Take half its coefficient (-0.07142857145). Square it (0.005102040819) and add it to both sides. Add '0.005102040819' to each side of the equation. -0.1428571429r + 0.005102040819 + r2 = -1.571428571 + 0.005102040819 Reorder the terms: 0.005102040819 + -0.1428571429r + r2 = -1.571428571 + 0.005102040819 Combine like terms: -1.571428571 + 0.005102040819 = -1.566326530181 0.005102040819 + -0.1428571429r + r2 = -1.566326530181 Factor a perfect square on the left side: (r + -0.07142857145)(r + -0.07142857145) = -1.566326530181 Can't calculate square root of the right side. The solution to this equation could not be determined.
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