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Simplifying 2m2 + 8 = 5m Reorder the terms: 8 + 2m2 = 5m Solving 8 + 2m2 = 5m Solving for variable 'm'. Reorder the terms: 8 + -5m + 2m2 = 5m + -5m Combine like terms: 5m + -5m = 0 8 + -5m + 2m2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 4 + -2.5m + m2 = 0 Move the constant term to the right: Add '-4' to each side of the equation. 4 + -2.5m + -4 + m2 = 0 + -4 Reorder the terms: 4 + -4 + -2.5m + m2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -2.5m + m2 = 0 + -4 -2.5m + m2 = 0 + -4 Combine like terms: 0 + -4 = -4 -2.5m + m2 = -4 The m term is -2.5m. Take half its coefficient (-1.25). Square it (1.5625) and add it to both sides. Add '1.5625' to each side of the equation. -2.5m + 1.5625 + m2 = -4 + 1.5625 Reorder the terms: 1.5625 + -2.5m + m2 = -4 + 1.5625 Combine like terms: -4 + 1.5625 = -2.4375 1.5625 + -2.5m + m2 = -2.4375 Factor a perfect square on the left side: (m + -1.25)(m + -1.25) = -2.4375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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