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Simplifying 2m2 + m + 2 = 0 Reorder the terms: 2 + m + 2m2 = 0 Solving 2 + m + 2m2 = 0 Solving for variable 'm'. Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 1 + 0.5m + m2 = 0 Move the constant term to the right: Add '-1' to each side of the equation. 1 + 0.5m + -1 + m2 = 0 + -1 Reorder the terms: 1 + -1 + 0.5m + m2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 0.5m + m2 = 0 + -1 0.5m + m2 = 0 + -1 Combine like terms: 0 + -1 = -1 0.5m + m2 = -1 The m term is m. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. 0.5m + 0.25 + m2 = -1 + 0.25 Reorder the terms: 0.25 + 0.5m + m2 = -1 + 0.25 Combine like terms: -1 + 0.25 = -0.75 0.25 + 0.5m + m2 = -0.75 Factor a perfect square on the left side: (m + 0.5)(m + 0.5) = -0.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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