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Simplifying 25m2 + 8m + 64 = 0 Reorder the terms: 64 + 8m + 25m2 = 0 Solving 64 + 8m + 25m2 = 0 Solving for variable 'm'. Begin completing the square. Divide all terms by 25 the coefficient of the squared term: Divide each side by '25'. 2.56 + 0.32m + m2 = 0 Move the constant term to the right: Add '-2.56' to each side of the equation. 2.56 + 0.32m + -2.56 + m2 = 0 + -2.56 Reorder the terms: 2.56 + -2.56 + 0.32m + m2 = 0 + -2.56 Combine like terms: 2.56 + -2.56 = 0.00 0.00 + 0.32m + m2 = 0 + -2.56 0.32m + m2 = 0 + -2.56 Combine like terms: 0 + -2.56 = -2.56 0.32m + m2 = -2.56 The m term is 0.32m. Take half its coefficient (0.16). Square it (0.0256) and add it to both sides. Add '0.0256' to each side of the equation. 0.32m + 0.0256 + m2 = -2.56 + 0.0256 Reorder the terms: 0.0256 + 0.32m + m2 = -2.56 + 0.0256 Combine like terms: -2.56 + 0.0256 = -2.5344 0.0256 + 0.32m + m2 = -2.5344 Factor a perfect square on the left side: (m + 0.16)(m + 0.16) = -2.5344 Can't calculate square root of the right side. The solution to this equation could not be determined.
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