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Simplifying 9r2 + -9r + 28 = 0 Reorder the terms: 28 + -9r + 9r2 = 0 Solving 28 + -9r + 9r2 = 0 Solving for variable 'r'. Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 3.111111111 + -1r + r2 = 0 Move the constant term to the right: Add '-3.111111111' to each side of the equation. 3.111111111 + -1r + -3.111111111 + r2 = 0 + -3.111111111 Reorder the terms: 3.111111111 + -3.111111111 + -1r + r2 = 0 + -3.111111111 Combine like terms: 3.111111111 + -3.111111111 = 0.000000000 0.000000000 + -1r + r2 = 0 + -3.111111111 -1r + r2 = 0 + -3.111111111 Combine like terms: 0 + -3.111111111 = -3.111111111 -1r + r2 = -3.111111111 The r term is -1r. Take half its coefficient (-0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -1r + 0.25 + r2 = -3.111111111 + 0.25 Reorder the terms: 0.25 + -1r + r2 = -3.111111111 + 0.25 Combine like terms: -3.111111111 + 0.25 = -2.861111111 0.25 + -1r + r2 = -2.861111111 Factor a perfect square on the left side: (r + -0.5)(r + -0.5) = -2.861111111 Can't calculate square root of the right side. The solution to this equation could not be determined.
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