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Simplifying 4m2 + 3m + 18 = 0 Reorder the terms: 18 + 3m + 4m2 = 0 Solving 18 + 3m + 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'. 4.5 + 0.75m + m2 = 0 Move the constant term to the right: Add '-4.5' to each side of the equation. 4.5 + 0.75m + -4.5 + m2 = 0 + -4.5 Reorder the terms: 4.5 + -4.5 + 0.75m + m2 = 0 + -4.5 Combine like terms: 4.5 + -4.5 = 0.0 0.0 + 0.75m + m2 = 0 + -4.5 0.75m + m2 = 0 + -4.5 Combine like terms: 0 + -4.5 = -4.5 0.75m + m2 = -4.5 The m term is 0.75m. Take half its coefficient (0.375). Square it (0.140625) and add it to both sides. Add '0.140625' to each side of the equation. 0.75m + 0.140625 + m2 = -4.5 + 0.140625 Reorder the terms: 0.140625 + 0.75m + m2 = -4.5 + 0.140625 Combine like terms: -4.5 + 0.140625 = -4.359375 0.140625 + 0.75m + m2 = -4.359375 Factor a perfect square on the left side: (m + 0.375)(m + 0.375) = -4.359375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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