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Simplifying 2m2 + 7m + 22 = 0 Reorder the terms: 22 + 7m + 2m2 = 0 Solving 22 + 7m + 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'. 11 + 3.5m + m2 = 0 Move the constant term to the right: Add '-11' to each side of the equation. 11 + 3.5m + -11 + m2 = 0 + -11 Reorder the terms: 11 + -11 + 3.5m + m2 = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 3.5m + m2 = 0 + -11 3.5m + m2 = 0 + -11 Combine like terms: 0 + -11 = -11 3.5m + m2 = -11 The m term is 3.5m. Take half its coefficient (1.75). Square it (3.0625) and add it to both sides. Add '3.0625' to each side of the equation. 3.5m + 3.0625 + m2 = -11 + 3.0625 Reorder the terms: 3.0625 + 3.5m + m2 = -11 + 3.0625 Combine like terms: -11 + 3.0625 = -7.9375 3.0625 + 3.5m + m2 = -7.9375 Factor a perfect square on the left side: (m + 1.75)(m + 1.75) = -7.9375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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