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Simplifying 2m + -0.1m2 = 60 Solving 2m + -0.1m2 = 60 Solving for variable 'm'. Reorder the terms: -60 + 2m + -0.1m2 = 60 + -60 Combine like terms: 60 + -60 = 0 -60 + 2m + -0.1m2 = 0 Begin completing the square. Divide all terms by -0.1 the coefficient of the squared term: Divide each side by '-0.1'. 600 + -20m + m2 = 0 Move the constant term to the right: Add '-600' to each side of the equation. 600 + -20m + -600 + m2 = 0 + -600 Reorder the terms: 600 + -600 + -20m + m2 = 0 + -600 Combine like terms: 600 + -600 = 0 0 + -20m + m2 = 0 + -600 -20m + m2 = 0 + -600 Combine like terms: 0 + -600 = -600 -20m + m2 = -600 The m term is -20m. Take half its coefficient (-10). Square it (100) and add it to both sides. Add '100' to each side of the equation. -20m + 100 + m2 = -600 + 100 Reorder the terms: 100 + -20m + m2 = -600 + 100 Combine like terms: -600 + 100 = -500 100 + -20m + m2 = -500 Factor a perfect square on the left side: (m + -10)(m + -10) = -500 Can't calculate square root of the right side. The solution to this equation could not be determined.
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