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Simplifying 2m2 + 9m + 14 = 0 Reorder the terms: 14 + 9m + 2m2 = 0 Solving 14 + 9m + 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'. 7 + 4.5m + m2 = 0 Move the constant term to the right: Add '-7' to each side of the equation. 7 + 4.5m + -7 + m2 = 0 + -7 Reorder the terms: 7 + -7 + 4.5m + m2 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 4.5m + m2 = 0 + -7 4.5m + m2 = 0 + -7 Combine like terms: 0 + -7 = -7 4.5m + m2 = -7 The m term is 4.5m. Take half its coefficient (2.25). Square it (5.0625) and add it to both sides. Add '5.0625' to each side of the equation. 4.5m + 5.0625 + m2 = -7 + 5.0625 Reorder the terms: 5.0625 + 4.5m + m2 = -7 + 5.0625 Combine like terms: -7 + 5.0625 = -1.9375 5.0625 + 4.5m + m2 = -1.9375 Factor a perfect square on the left side: (m + 2.25)(m + 2.25) = -1.9375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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