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Simplifying 4m2 + 12m + 27 = 0 Reorder the terms: 27 + 12m + 4m2 = 0 Solving 27 + 12m + 4m2 = 0 Solving for variable 'm'. Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 6.75 + 3m + m2 = 0 Move the constant term to the right: Add '-6.75' to each side of the equation. 6.75 + 3m + -6.75 + m2 = 0 + -6.75 Reorder the terms: 6.75 + -6.75 + 3m + m2 = 0 + -6.75 Combine like terms: 6.75 + -6.75 = 0.00 0.00 + 3m + m2 = 0 + -6.75 3m + m2 = 0 + -6.75 Combine like terms: 0 + -6.75 = -6.75 3m + m2 = -6.75 The m term is 3m. Take half its coefficient (1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. 3m + 2.25 + m2 = -6.75 + 2.25 Reorder the terms: 2.25 + 3m + m2 = -6.75 + 2.25 Combine like terms: -6.75 + 2.25 = -4.5 2.25 + 3m + m2 = -4.5 Factor a perfect square on the left side: (m + 1.5)(m + 1.5) = -4.5 Can't calculate square root of the right side. The solution to this equation could not be determined.
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