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Simplifying x2 + mx + 2m2 = 0 Reorder the terms: mx + 2m2 + x2 = 0 Solving mx + 2m2 + x2 = 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'. 0.5mx + m2 + 0.5x2 = 0 Move the constant term to the right: Add '-1x2' to each side of the equation. 0.5mx + m2 + 0.5x2 + -1x2 = 0 + -1x2 Combine like terms: 0.5x2 + -1x2 = -0.5x2 0.5mx + m2 + -0.5x2 = 0 + -1x2 Remove the zero: 0.5mx + m2 + -0.5x2 = -1x2 The m term is mx. Take half its coefficient (0.5x). Square it (0.25x2) and add it to both sides. Add '0.25x2' to each side of the equation. 0.5mx + m2 + -0.5x2 + 0.25x2 = -1x2 + 0.25x2 Combine like terms: -0.5x2 + 0.25x2 = -0.25x2 0.5mx + m2 + -0.25x2 = -1x2 + 0.25x2 Combine like terms: -1x2 + 0.25x2 = -0.75x2 0.5mx + m2 + -0.25x2 = -0.75x2 Factor a perfect square on the left side: (m + 0.5x)(m + 0.5x) = -0.75x2 Can't calculate square root of the right side. The solution to this equation could not be determined.
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