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Simplifying (4m2 + 5m + -1) + (6m2 + -6m + 4) = 0 Reorder the terms: (-1 + 5m + 4m2) + (6m2 + -6m + 4) = 0 Remove parenthesis around (-1 + 5m + 4m2) -1 + 5m + 4m2 + (6m2 + -6m + 4) = 0 Reorder the terms: -1 + 5m + 4m2 + (4 + -6m + 6m2) = 0 Remove parenthesis around (4 + -6m + 6m2) -1 + 5m + 4m2 + 4 + -6m + 6m2 = 0 Reorder the terms: -1 + 4 + 5m + -6m + 4m2 + 6m2 = 0 Combine like terms: -1 + 4 = 3 3 + 5m + -6m + 4m2 + 6m2 = 0 Combine like terms: 5m + -6m = -1m 3 + -1m + 4m2 + 6m2 = 0 Combine like terms: 4m2 + 6m2 = 10m2 3 + -1m + 10m2 = 0 Solving 3 + -1m + 10m2 = 0 Solving for variable 'm'. Begin completing the square. Divide all terms by 10 the coefficient of the squared term: Divide each side by '10'. 0.3 + -0.1m + m2 = 0.0 Move the constant term to the right: Add '-0.3' to each side of the equation. 0.3 + -0.1m + -0.3 + m2 = 0.0 + -0.3 Reorder the terms: 0.3 + -0.3 + -0.1m + m2 = 0.0 + -0.3 Combine like terms: 0.3 + -0.3 = 0.0 0.0 + -0.1m + m2 = 0.0 + -0.3 -0.1m + m2 = 0.0 + -0.3 Combine like terms: 0.0 + -0.3 = -0.3 -0.1m + m2 = -0.3 The m term is -0.1m. Take half its coefficient (-0.05). Square it (0.0025) and add it to both sides. Add '0.0025' to each side of the equation. -0.1m + 0.0025 + m2 = -0.3 + 0.0025 Reorder the terms: 0.0025 + -0.1m + m2 = -0.3 + 0.0025 Combine like terms: -0.3 + 0.0025 = -0.2975 0.0025 + -0.1m + m2 = -0.2975 Factor a perfect square on the left side: (m + -0.05)(m + -0.05) = -0.2975 Can't calculate square root of the right side. The solution to this equation could not be determined.
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