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Simplifying 9m2 + -9m + 11 = 3 Reorder the terms: 11 + -9m + 9m2 = 3 Solving 11 + -9m + 9m2 = 3 Solving for variable 'm'. Reorder the terms: 11 + -3 + -9m + 9m2 = 3 + -3 Combine like terms: 11 + -3 = 8 8 + -9m + 9m2 = 3 + -3 Combine like terms: 3 + -3 = 0 8 + -9m + 9m2 = 0 Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 0.8888888889 + -1m + m2 = 0 Move the constant term to the right: Add '-0.8888888889' to each side of the equation. 0.8888888889 + -1m + -0.8888888889 + m2 = 0 + -0.8888888889 Reorder the terms: 0.8888888889 + -0.8888888889 + -1m + m2 = 0 + -0.8888888889 Combine like terms: 0.8888888889 + -0.8888888889 = 0.0000000000 0.0000000000 + -1m + m2 = 0 + -0.8888888889 -1m + m2 = 0 + -0.8888888889 Combine like terms: 0 + -0.8888888889 = -0.8888888889 -1m + m2 = -0.8888888889 The m term is -1m. 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. -1m + 0.25 + m2 = -0.8888888889 + 0.25 Reorder the terms: 0.25 + -1m + m2 = -0.8888888889 + 0.25 Combine like terms: -0.8888888889 + 0.25 = -0.6388888889 0.25 + -1m + m2 = -0.6388888889 Factor a perfect square on the left side: (m + -0.5)(m + -0.5) = -0.6388888889 Can't calculate square root of the right side. The solution to this equation could not be determined.
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