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Simplifying 2m2 + -7m + 13 = -10 Reorder the terms: 13 + -7m + 2m2 = -10 Solving 13 + -7m + 2m2 = -10 Solving for variable 'm'. Reorder the terms: 13 + 10 + -7m + 2m2 = -10 + 10 Combine like terms: 13 + 10 = 23 23 + -7m + 2m2 = -10 + 10 Combine like terms: -10 + 10 = 0 23 + -7m + 2m2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 11.5 + -3.5m + m2 = 0 Move the constant term to the right: Add '-11.5' to each side of the equation. 11.5 + -3.5m + -11.5 + m2 = 0 + -11.5 Reorder the terms: 11.5 + -11.5 + -3.5m + m2 = 0 + -11.5 Combine like terms: 11.5 + -11.5 = 0.0 0.0 + -3.5m + m2 = 0 + -11.5 -3.5m + m2 = 0 + -11.5 Combine like terms: 0 + -11.5 = -11.5 -3.5m + m2 = -11.5 The m term is -3.5m. Take half its coefficient (-1.75). Square it (3.0625) and add it to both sides. Add '3.0625' to each side of the equation. -3.5m + 3.0625 + m2 = -11.5 + 3.0625 Reorder the terms: 3.0625 + -3.5m + m2 = -11.5 + 3.0625 Combine like terms: -11.5 + 3.0625 = -8.4375 3.0625 + -3.5m + m2 = -8.4375 Factor a perfect square on the left side: (m + -1.75)(m + -1.75) = -8.4375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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