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Simplifying -4r + 11r + 15 = -6r2 Reorder the terms: 15 + -4r + 11r = -6r2 Combine like terms: -4r + 11r = 7r 15 + 7r = -6r2 Solving 15 + 7r = -6r2 Solving for variable 'r'. Combine like terms: -6r2 + 6r2 = 0 15 + 7r + 6r2 = 0 Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. 2.5 + 1.166666667r + r2 = 0 Move the constant term to the right: Add '-2.5' to each side of the equation. 2.5 + 1.166666667r + -2.5 + r2 = 0 + -2.5 Reorder the terms: 2.5 + -2.5 + 1.166666667r + r2 = 0 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + 1.166666667r + r2 = 0 + -2.5 1.166666667r + r2 = 0 + -2.5 Combine like terms: 0 + -2.5 = -2.5 1.166666667r + r2 = -2.5 The r term is 1.166666667r. Take half its coefficient (0.5833333335). Square it (0.3402777780) and add it to both sides. Add '0.3402777780' to each side of the equation. 1.166666667r + 0.3402777780 + r2 = -2.5 + 0.3402777780 Reorder the terms: 0.3402777780 + 1.166666667r + r2 = -2.5 + 0.3402777780 Combine like terms: -2.5 + 0.3402777780 = -2.159722222 0.3402777780 + 1.166666667r + r2 = -2.159722222 Factor a perfect square on the left side: (r + 0.5833333335)(r + 0.5833333335) = -2.159722222 Can't calculate square root of the right side. The solution to this equation could not be determined.
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