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Simplifying [(8m2 + 2m + -5) + -1(10m2 + -5m + 5)] + -1(m2 + m + 4) = 0 Reorder the terms: [(-5 + 2m + 8m2) + -1(10m2 + -5m + 5)] + -1(m2 + m + 4) = 0 Remove parenthesis around (-5 + 2m + 8m2) [-5 + 2m + 8m2 + -1(10m2 + -5m + 5)] + -1(m2 + m + 4) = 0 Reorder the terms: [-5 + 2m + 8m2 + -1(5 + -5m + 10m2)] + -1(m2 + m + 4) = 0 [-5 + 2m + 8m2 + (5 * -1 + -5m * -1 + 10m2 * -1)] + -1(m2 + m + 4) = 0 [-5 + 2m + 8m2 + (-5 + 5m + -10m2)] + -1(m2 + m + 4) = 0 Reorder the terms: [-5 + -5 + 2m + 5m + 8m2 + -10m2] + -1(m2 + m + 4) = 0 Combine like terms: -5 + -5 = -10 [-10 + 2m + 5m + 8m2 + -10m2] + -1(m2 + m + 4) = 0 Combine like terms: 2m + 5m = 7m [-10 + 7m + 8m2 + -10m2] + -1(m2 + m + 4) = 0 Combine like terms: 8m2 + -10m2 = -2m2 [-10 + 7m + -2m2] + -1(m2 + m + 4) = 0 Remove brackets around [-10 + 7m + -2m2] -10 + 7m + -2m2 + -1(m2 + m + 4) = 0 Reorder the terms: -10 + 7m + -2m2 + -1(4 + m + m2) = 0 -10 + 7m + -2m2 + (4 * -1 + m * -1 + m2 * -1) = 0 -10 + 7m + -2m2 + (-4 + -1m + -1m2) = 0 Reorder the terms: -10 + -4 + 7m + -1m + -2m2 + -1m2 = 0 Combine like terms: -10 + -4 = -14 -14 + 7m + -1m + -2m2 + -1m2 = 0 Combine like terms: 7m + -1m = 6m -14 + 6m + -2m2 + -1m2 = 0 Combine like terms: -2m2 + -1m2 = -3m2 -14 + 6m + -3m2 = 0 Solving -14 + 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'. 4.666666667 + -2m + m2 = 0 Move the constant term to the right: Add '-4.666666667' to each side of the equation. 4.666666667 + -2m + -4.666666667 + m2 = 0 + -4.666666667 Reorder the terms: 4.666666667 + -4.666666667 + -2m + m2 = 0 + -4.666666667 Combine like terms: 4.666666667 + -4.666666667 = 0.000000000 0.000000000 + -2m + m2 = 0 + -4.666666667 -2m + m2 = 0 + -4.666666667 Combine like terms: 0 + -4.666666667 = -4.666666667 -2m + m2 = -4.666666667 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 = -4.666666667 + 1 Reorder the terms: 1 + -2m + m2 = -4.666666667 + 1 Combine like terms: -4.666666667 + 1 = -3.666666667 1 + -2m + m2 = -3.666666667 Factor a perfect square on the left side: (m + -1)(m + -1) = -3.666666667 Can't calculate square root of the right side. The solution to this equation could not be determined.
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