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Simplifying [(7m2 + 3m + -5) + -1(9m2 + -4m + 9)] + -1(m2 + m + 2) = 0 Reorder the terms: [(-5 + 3m + 7m2) + -1(9m2 + -4m + 9)] + -1(m2 + m + 2) = 0 Remove parenthesis around (-5 + 3m + 7m2) [-5 + 3m + 7m2 + -1(9m2 + -4m + 9)] + -1(m2 + m + 2) = 0 Reorder the terms: [-5 + 3m + 7m2 + -1(9 + -4m + 9m2)] + -1(m2 + m + 2) = 0 [-5 + 3m + 7m2 + (9 * -1 + -4m * -1 + 9m2 * -1)] + -1(m2 + m + 2) = 0 [-5 + 3m + 7m2 + (-9 + 4m + -9m2)] + -1(m2 + m + 2) = 0 Reorder the terms: [-5 + -9 + 3m + 4m + 7m2 + -9m2] + -1(m2 + m + 2) = 0 Combine like terms: -5 + -9 = -14 [-14 + 3m + 4m + 7m2 + -9m2] + -1(m2 + m + 2) = 0 Combine like terms: 3m + 4m = 7m [-14 + 7m + 7m2 + -9m2] + -1(m2 + m + 2) = 0 Combine like terms: 7m2 + -9m2 = -2m2 [-14 + 7m + -2m2] + -1(m2 + m + 2) = 0 Remove brackets around [-14 + 7m + -2m2] -14 + 7m + -2m2 + -1(m2 + m + 2) = 0 Reorder the terms: -14 + 7m + -2m2 + -1(2 + m + m2) = 0 -14 + 7m + -2m2 + (2 * -1 + m * -1 + m2 * -1) = 0 -14 + 7m + -2m2 + (-2 + -1m + -1m2) = 0 Reorder the terms: -14 + -2 + 7m + -1m + -2m2 + -1m2 = 0 Combine like terms: -14 + -2 = -16 -16 + 7m + -1m + -2m2 + -1m2 = 0 Combine like terms: 7m + -1m = 6m -16 + 6m + -2m2 + -1m2 = 0 Combine like terms: -2m2 + -1m2 = -3m2 -16 + 6m + -3m2 = 0 Solving -16 + 6m + -3m2 = 0 Solving for variable 'm'. Begin completing the square. Divide all terms by -3 the coefficient of the squared term: Divide each side by '-3'. 5.333333333 + -2m + m2 = 0 Move the constant term to the right: Add '-5.333333333' to each side of the equation. 5.333333333 + -2m + -5.333333333 + m2 = 0 + -5.333333333 Reorder the terms: 5.333333333 + -5.333333333 + -2m + m2 = 0 + -5.333333333 Combine like terms: 5.333333333 + -5.333333333 = 0.000000000 0.000000000 + -2m + m2 = 0 + -5.333333333 -2m + m2 = 0 + -5.333333333 Combine like terms: 0 + -5.333333333 = -5.333333333 -2m + m2 = -5.333333333 The m term is -2m. Take half its coefficient (-1). Square it (1) and add it to both sides. Add '1' to each side of the equation. -2m + 1 + m2 = -5.333333333 + 1 Reorder the terms: 1 + -2m + m2 = -5.333333333 + 1 Combine like terms: -5.333333333 + 1 = -4.333333333 1 + -2m + m2 = -4.333333333 Factor a perfect square on the left side: (m + -1)(m + -1) = -4.333333333 Can't calculate square root of the right side. The solution to this equation could not be determined.
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