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Simplifying 9r2 + 9r + 5 = 0 Reorder the terms: 5 + 9r + 9r2 = 0 Solving 5 + 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'. 0.5555555556 + r + r2 = 0 Move the constant term to the right: Add '-0.5555555556' to each side of the equation. 0.5555555556 + r + -0.5555555556 + r2 = 0 + -0.5555555556 Reorder the terms: 0.5555555556 + -0.5555555556 + r + r2 = 0 + -0.5555555556 Combine like terms: 0.5555555556 + -0.5555555556 = 0.0000000000 0.0000000000 + r + r2 = 0 + -0.5555555556 r + r2 = 0 + -0.5555555556 Combine like terms: 0 + -0.5555555556 = -0.5555555556 r + r2 = -0.5555555556 The r term is r. 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. + 0.25 + r2 = -0.5555555556 + 0.25 Combine like terms: + 0.25 = 1.25 1.25 + r2 = -0.5555555556 + 0.25 Combine like terms: -0.5555555556 + 0.25 = -0.3055555556 1.25 + r2 = -0.3055555556 Factor a perfect square on the left side: (r + 0.5)(r + 0.5) = -0.3055555556 Can't calculate square root of the right side. The solution to this equation could not be determined.
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