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Simplifying 2m + -1m2 = 24 Solving 2m + -1m2 = 24 Solving for variable 'm'. Reorder the terms: -24 + 2m + -1m2 = 24 + -24 Combine like terms: 24 + -24 = 0 -24 + 2m + -1m2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 24 + -2m + m2 = 0 Move the constant term to the right: Add '-24' to each side of the equation. 24 + -2m + -24 + m2 = 0 + -24 Reorder the terms: 24 + -24 + -2m + m2 = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -2m + m2 = 0 + -24 -2m + m2 = 0 + -24 Combine like terms: 0 + -24 = -24 -2m + m2 = -24 The m term is -2m. Take half its coefficient (-1). Square it (1) and add it to both sides. Add '1' to each side of the equation. -2m + 1 + m2 = -24 + 1 Reorder the terms: 1 + -2m + m2 = -24 + 1 Combine like terms: -24 + 1 = -23 1 + -2m + m2 = -23 Factor a perfect square on the left side: (m + -1)(m + -1) = -23 Can't calculate square root of the right side. The solution to this equation could not be determined.
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