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Simplifying 2m2 + 3m + 3.125 = 0 Reorder the terms: 3.125 + 3m + 2m2 = 0 Solving 3.125 + 3m + 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'. 1.5625 + 1.5m + m2 = 0 Move the constant term to the right: Add '-1.5625' to each side of the equation. 1.5625 + 1.5m + -1.5625 + m2 = 0 + -1.5625 Reorder the terms: 1.5625 + -1.5625 + 1.5m + m2 = 0 + -1.5625 Combine like terms: 1.5625 + -1.5625 = 0.0000 0.0000 + 1.5m + m2 = 0 + -1.5625 1.5m + m2 = 0 + -1.5625 Combine like terms: 0 + -1.5625 = -1.5625 1.5m + m2 = -1.5625 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 = -1.5625 + 0.5625 Reorder the terms: 0.5625 + 1.5m + m2 = -1.5625 + 0.5625 Combine like terms: -1.5625 + 0.5625 = -1 0.5625 + 1.5m + m2 = -1 Factor a perfect square on the left side: (m + 0.75)(m + 0.75) = -1 Can't calculate square root of the right side. The solution to this equation could not be determined.
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