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Simplifying 2.4m(m + -3) + 3.8 = -8.2 Reorder the terms: 2.4m(-3 + m) + 3.8 = -8.2 (-3 * 2.4m + m * 2.4m) + 3.8 = -8.2 (-7.2m + 2.4m2) + 3.8 = -8.2 Reorder the terms: 3.8 + -7.2m + 2.4m2 = -8.2 Solving 3.8 + -7.2m + 2.4m2 = -8.2 Solving for variable 'm'. Reorder the terms: 3.8 + 8.2 + -7.2m + 2.4m2 = -8.2 + 8.2 Combine like terms: 3.8 + 8.2 = 12 12 + -7.2m + 2.4m2 = -8.2 + 8.2 Combine like terms: -8.2 + 8.2 = 0.0 12 + -7.2m + 2.4m2 = 0.0 Begin completing the square. Divide all terms by 2.4 the coefficient of the squared term: Divide each side by '2.4'. 5 + -3m + m2 = 0 Move the constant term to the right: Add '-5' to each side of the equation. 5 + -3m + -5 + m2 = 0 + -5 Reorder the terms: 5 + -5 + -3m + m2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3m + m2 = 0 + -5 -3m + m2 = 0 + -5 Combine like terms: 0 + -5 = -5 -3m + m2 = -5 The m term is -3m. Take half its coefficient (-1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. -3m + 2.25 + m2 = -5 + 2.25 Reorder the terms: 2.25 + -3m + m2 = -5 + 2.25 Combine like terms: -5 + 2.25 = -2.75 2.25 + -3m + m2 = -2.75 Factor a perfect square on the left side: (m + -1.5)(m + -1.5) = -2.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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