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Simplifying [(5m2 + 4m + -2) + -1(8m2 + -2m + 4)] + -1(m2 + m + 6) = 0 Reorder the terms: [(-2 + 4m + 5m2) + -1(8m2 + -2m + 4)] + -1(m2 + m + 6) = 0 Remove parenthesis around (-2 + 4m + 5m2) [-2 + 4m + 5m2 + -1(8m2 + -2m + 4)] + -1(m2 + m + 6) = 0 Reorder the terms: [-2 + 4m + 5m2 + -1(4 + -2m + 8m2)] + -1(m2 + m + 6) = 0 [-2 + 4m + 5m2 + (4 * -1 + -2m * -1 + 8m2 * -1)] + -1(m2 + m + 6) = 0 [-2 + 4m + 5m2 + (-4 + 2m + -8m2)] + -1(m2 + m + 6) = 0 Reorder the terms: [-2 + -4 + 4m + 2m + 5m2 + -8m2] + -1(m2 + m + 6) = 0 Combine like terms: -2 + -4 = -6 [-6 + 4m + 2m + 5m2 + -8m2] + -1(m2 + m + 6) = 0 Combine like terms: 4m + 2m = 6m [-6 + 6m + 5m2 + -8m2] + -1(m2 + m + 6) = 0 Combine like terms: 5m2 + -8m2 = -3m2 [-6 + 6m + -3m2] + -1(m2 + m + 6) = 0 Remove brackets around [-6 + 6m + -3m2] -6 + 6m + -3m2 + -1(m2 + m + 6) = 0 Reorder the terms: -6 + 6m + -3m2 + -1(6 + m + m2) = 0 -6 + 6m + -3m2 + (6 * -1 + m * -1 + m2 * -1) = 0 -6 + 6m + -3m2 + (-6 + -1m + -1m2) = 0 Reorder the terms: -6 + -6 + 6m + -1m + -3m2 + -1m2 = 0 Combine like terms: -6 + -6 = -12 -12 + 6m + -1m + -3m2 + -1m2 = 0 Combine like terms: 6m + -1m = 5m -12 + 5m + -3m2 + -1m2 = 0 Combine like terms: -3m2 + -1m2 = -4m2 -12 + 5m + -4m2 = 0 Solving -12 + 5m + -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'. 3 + -1.25m + m2 = 0 Move the constant term to the right: Add '-3' to each side of the equation. 3 + -1.25m + -3 + m2 = 0 + -3 Reorder the terms: 3 + -3 + -1.25m + m2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1.25m + m2 = 0 + -3 -1.25m + m2 = 0 + -3 Combine like terms: 0 + -3 = -3 -1.25m + m2 = -3 The m term is -1.25m. Take half its coefficient (-0.625). Square it (0.390625) and add it to both sides. Add '0.390625' to each side of the equation. -1.25m + 0.390625 + m2 = -3 + 0.390625 Reorder the terms: 0.390625 + -1.25m + m2 = -3 + 0.390625 Combine like terms: -3 + 0.390625 = -2.609375 0.390625 + -1.25m + m2 = -2.609375 Factor a perfect square on the left side: (m + -0.625)(m + -0.625) = -2.609375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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