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Simplifying 49r2 + 41r + 9 = 0 Reorder the terms: 9 + 41r + 49r2 = 0 Solving 9 + 41r + 49r2 = 0 Solving for variable 'r'. Begin completing the square. Divide all terms by 49 the coefficient of the squared term: Divide each side by '49'. 0.1836734694 + 0.8367346939r + r2 = 0 Move the constant term to the right: Add '-0.1836734694' to each side of the equation. 0.1836734694 + 0.8367346939r + -0.1836734694 + r2 = 0 + -0.1836734694 Reorder the terms: 0.1836734694 + -0.1836734694 + 0.8367346939r + r2 = 0 + -0.1836734694 Combine like terms: 0.1836734694 + -0.1836734694 = 0.0000000000 0.0000000000 + 0.8367346939r + r2 = 0 + -0.1836734694 0.8367346939r + r2 = 0 + -0.1836734694 Combine like terms: 0 + -0.1836734694 = -0.1836734694 0.8367346939r + r2 = -0.1836734694 The r term is 0.8367346939r. Take half its coefficient (0.418367347). Square it (0.1750312370) and add it to both sides. Add '0.1750312370' to each side of the equation. 0.8367346939r + 0.1750312370 + r2 = -0.1836734694 + 0.1750312370 Reorder the terms: 0.1750312370 + 0.8367346939r + r2 = -0.1836734694 + 0.1750312370 Combine like terms: -0.1836734694 + 0.1750312370 = -0.0086422324 0.1750312370 + 0.8367346939r + r2 = -0.0086422324 Factor a perfect square on the left side: (r + 0.418367347)(r + 0.418367347) = -0.0086422324 Can't calculate square root of the right side. The solution to this equation could not be determined.
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