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Simplifying 20m2 + -11m + 4 = 0 Reorder the terms: 4 + -11m + 20m2 = 0 Solving 4 + -11m + 20m2 = 0 Solving for variable 'm'. Begin completing the square. Divide all terms by 20 the coefficient of the squared term: Divide each side by '20'. 0.2 + -0.55m + m2 = 0 Move the constant term to the right: Add '-0.2' to each side of the equation. 0.2 + -0.55m + -0.2 + m2 = 0 + -0.2 Reorder the terms: 0.2 + -0.2 + -0.55m + m2 = 0 + -0.2 Combine like terms: 0.2 + -0.2 = 0.0 0.0 + -0.55m + m2 = 0 + -0.2 -0.55m + m2 = 0 + -0.2 Combine like terms: 0 + -0.2 = -0.2 -0.55m + m2 = -0.2 The m term is -0.55m. Take half its coefficient (-0.275). Square it (0.075625) and add it to both sides. Add '0.075625' to each side of the equation. -0.55m + 0.075625 + m2 = -0.2 + 0.075625 Reorder the terms: 0.075625 + -0.55m + m2 = -0.2 + 0.075625 Combine like terms: -0.2 + 0.075625 = -0.124375 0.075625 + -0.55m + m2 = -0.124375 Factor a perfect square on the left side: (m + -0.275)(m + -0.275) = -0.124375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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