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Simplifying 4m2 + 11m + 8 = 0 Reorder the terms: 8 + 11m + 4m2 = 0 Solving 8 + 11m + 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'. 2 + 2.75m + m2 = 0 Move the constant term to the right: Add '-2' to each side of the equation. 2 + 2.75m + -2 + m2 = 0 + -2 Reorder the terms: 2 + -2 + 2.75m + m2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 2.75m + m2 = 0 + -2 2.75m + m2 = 0 + -2 Combine like terms: 0 + -2 = -2 2.75m + m2 = -2 The m term is 2.75m. Take half its coefficient (1.375). Square it (1.890625) and add it to both sides. Add '1.890625' to each side of the equation. 2.75m + 1.890625 + m2 = -2 + 1.890625 Reorder the terms: 1.890625 + 2.75m + m2 = -2 + 1.890625 Combine like terms: -2 + 1.890625 = -0.109375 1.890625 + 2.75m + m2 = -0.109375 Factor a perfect square on the left side: (m + 1.375)(m + 1.375) = -0.109375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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