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Simplifying -6r = -5r2 + -9 Reorder the terms: -6r = -9 + -5r2 Solving -6r = -9 + -5r2 Solving for variable 'r'. Reorder the terms: 9 + -6r + 5r2 = -9 + -5r2 + 9 + 5r2 Reorder the terms: 9 + -6r + 5r2 = -9 + 9 + -5r2 + 5r2 Combine like terms: -9 + 9 = 0 9 + -6r + 5r2 = 0 + -5r2 + 5r2 9 + -6r + 5r2 = -5r2 + 5r2 Combine like terms: -5r2 + 5r2 = 0 9 + -6r + 5r2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 1.8 + -1.2r + r2 = 0 Move the constant term to the right: Add '-1.8' to each side of the equation. 1.8 + -1.2r + -1.8 + r2 = 0 + -1.8 Reorder the terms: 1.8 + -1.8 + -1.2r + r2 = 0 + -1.8 Combine like terms: 1.8 + -1.8 = 0.0 0.0 + -1.2r + r2 = 0 + -1.8 -1.2r + r2 = 0 + -1.8 Combine like terms: 0 + -1.8 = -1.8 -1.2r + r2 = -1.8 The r term is -1.2r. Take half its coefficient (-0.6). Square it (0.36) and add it to both sides. Add '0.36' to each side of the equation. -1.2r + 0.36 + r2 = -1.8 + 0.36 Reorder the terms: 0.36 + -1.2r + r2 = -1.8 + 0.36 Combine like terms: -1.8 + 0.36 = -1.44 0.36 + -1.2r + r2 = -1.44 Factor a perfect square on the left side: (r + -0.6)(r + -0.6) = -1.44 Can't calculate square root of the right side. The solution to this equation could not be determined.
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