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Simplifying 5r2 + -44r + 120 = -30 + 11 Reorder the terms: 120 + -44r + 5r2 = -30 + 11 Combine like terms: -30 + 11 = -19 120 + -44r + 5r2 = -19 Solving 120 + -44r + 5r2 = -19 Solving for variable 'r'. Reorder the terms: 120 + 19 + -44r + 5r2 = -19 + 19 Combine like terms: 120 + 19 = 139 139 + -44r + 5r2 = -19 + 19 Combine like terms: -19 + 19 = 0 139 + -44r + 5r2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 27.8 + -8.8r + r2 = 0 Move the constant term to the right: Add '-27.8' to each side of the equation. 27.8 + -8.8r + -27.8 + r2 = 0 + -27.8 Reorder the terms: 27.8 + -27.8 + -8.8r + r2 = 0 + -27.8 Combine like terms: 27.8 + -27.8 = 0.0 0.0 + -8.8r + r2 = 0 + -27.8 -8.8r + r2 = 0 + -27.8 Combine like terms: 0 + -27.8 = -27.8 -8.8r + r2 = -27.8 The r term is -8.8r. Take half its coefficient (-4.4). Square it (19.36) and add it to both sides. Add '19.36' to each side of the equation. -8.8r + 19.36 + r2 = -27.8 + 19.36 Reorder the terms: 19.36 + -8.8r + r2 = -27.8 + 19.36 Combine like terms: -27.8 + 19.36 = -8.44 19.36 + -8.8r + r2 = -8.44 Factor a perfect square on the left side: (r + -4.4)(r + -4.4) = -8.44 Can't calculate square root of the right side. The solution to this equation could not be determined.
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