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Simplifying 2m2 + -3m + 16 = 6 Reorder the terms: 16 + -3m + 2m2 = 6 Solving 16 + -3m + 2m2 = 6 Solving for variable 'm'. Reorder the terms: 16 + -6 + -3m + 2m2 = 6 + -6 Combine like terms: 16 + -6 = 10 10 + -3m + 2m2 = 6 + -6 Combine like terms: 6 + -6 = 0 10 + -3m + 2m2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 5 + -1.5m + m2 = 0 Move the constant term to the right: Add '-5' to each side of the equation. 5 + -1.5m + -5 + m2 = 0 + -5 Reorder the terms: 5 + -5 + -1.5m + m2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1.5m + m2 = 0 + -5 -1.5m + m2 = 0 + -5 Combine like terms: 0 + -5 = -5 -1.5m + m2 = -5 The m term is -1.5m. Take half its coefficient (-0.75). Square it (0.5625) and add it to both sides. Add '0.5625' to each side of the equation. -1.5m + 0.5625 + m2 = -5 + 0.5625 Reorder the terms: 0.5625 + -1.5m + m2 = -5 + 0.5625 Combine like terms: -5 + 0.5625 = -4.4375 0.5625 + -1.5m + m2 = -4.4375 Factor a perfect square on the left side: (m + -0.75)(m + -0.75) = -4.4375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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