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Simplifying 3r2 + 11r = -12 Reorder the terms: 11r + 3r2 = -12 Solving 11r + 3r2 = -12 Solving for variable 'r'. Reorder the terms: 12 + 11r + 3r2 = -12 + 12 Combine like terms: -12 + 12 = 0 12 + 11r + 3r2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 4 + 3.666666667r + r2 = 0 Move the constant term to the right: Add '-4' to each side of the equation. 4 + 3.666666667r + -4 + r2 = 0 + -4 Reorder the terms: 4 + -4 + 3.666666667r + r2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3.666666667r + r2 = 0 + -4 3.666666667r + r2 = 0 + -4 Combine like terms: 0 + -4 = -4 3.666666667r + r2 = -4 The r term is 3.666666667r. Take half its coefficient (1.833333334). Square it (3.361111114) and add it to both sides. Add '3.361111114' to each side of the equation. 3.666666667r + 3.361111114 + r2 = -4 + 3.361111114 Reorder the terms: 3.361111114 + 3.666666667r + r2 = -4 + 3.361111114 Combine like terms: -4 + 3.361111114 = -0.638888886 3.361111114 + 3.666666667r + r2 = -0.638888886 Factor a perfect square on the left side: (r + 1.833333334)(r + 1.833333334) = -0.638888886 Can't calculate square root of the right side. The solution to this equation could not be determined.
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