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Simplifying (9m2 + 8) + -1(m + 6) = 0 Reorder the terms: (8 + 9m2) + -1(m + 6) = 0 Remove parenthesis around (8 + 9m2) 8 + 9m2 + -1(m + 6) = 0 Reorder the terms: 8 + 9m2 + -1(6 + m) = 0 8 + 9m2 + (6 * -1 + m * -1) = 0 8 + 9m2 + (-6 + -1m) = 0 Reorder the terms: 8 + -6 + -1m + 9m2 = 0 Combine like terms: 8 + -6 = 2 2 + -1m + 9m2 = 0 Solving 2 + -1m + 9m2 = 0 Solving for variable 'm'. Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 0.2222222222 + -0.1111111111m + m2 = 0 Move the constant term to the right: Add '-0.2222222222' to each side of the equation. 0.2222222222 + -0.1111111111m + -0.2222222222 + m2 = 0 + -0.2222222222 Reorder the terms: 0.2222222222 + -0.2222222222 + -0.1111111111m + m2 = 0 + -0.2222222222 Combine like terms: 0.2222222222 + -0.2222222222 = 0.0000000000 0.0000000000 + -0.1111111111m + m2 = 0 + -0.2222222222 -0.1111111111m + m2 = 0 + -0.2222222222 Combine like terms: 0 + -0.2222222222 = -0.2222222222 -0.1111111111m + m2 = -0.2222222222 The m term is -0.1111111111m. Take half its coefficient (-0.05555555555). Square it (0.003086419752) and add it to both sides. Add '0.003086419752' to each side of the equation. -0.1111111111m + 0.003086419752 + m2 = -0.2222222222 + 0.003086419752 Reorder the terms: 0.003086419752 + -0.1111111111m + m2 = -0.2222222222 + 0.003086419752 Combine like terms: -0.2222222222 + 0.003086419752 = -0.219135802448 0.003086419752 + -0.1111111111m + m2 = -0.219135802448 Factor a perfect square on the left side: (m + -0.05555555555)(m + -0.05555555555) = -0.219135802448 Can't calculate square root of the right side. The solution to this equation could not be determined.
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