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Simplifying 2m2 + -19m + 88 = 0 Reorder the terms: 88 + -19m + 2m2 = 0 Solving 88 + -19m + 2m2 = 0 Solving for variable 'm'. Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 44 + -9.5m + m2 = 0 Move the constant term to the right: Add '-44' to each side of the equation. 44 + -9.5m + -44 + m2 = 0 + -44 Reorder the terms: 44 + -44 + -9.5m + m2 = 0 + -44 Combine like terms: 44 + -44 = 0 0 + -9.5m + m2 = 0 + -44 -9.5m + m2 = 0 + -44 Combine like terms: 0 + -44 = -44 -9.5m + m2 = -44 The m term is -9.5m. Take half its coefficient (-4.75). Square it (22.5625) and add it to both sides. Add '22.5625' to each side of the equation. -9.5m + 22.5625 + m2 = -44 + 22.5625 Reorder the terms: 22.5625 + -9.5m + m2 = -44 + 22.5625 Combine like terms: -44 + 22.5625 = -21.4375 22.5625 + -9.5m + m2 = -21.4375 Factor a perfect square on the left side: (m + -4.75)(m + -4.75) = -21.4375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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