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Simplifying 2m + -1(9m + 6) * m + -7m = 8 Reorder the terms: 2m + -1(6 + 9m) * m + -7m = 8 Reorder the terms for easier multiplication: 2m + -1m(6 + 9m) + -7m = 8 2m + (6 * -1m + 9m * -1m) + -7m = 8 2m + (-6m + -9m2) + -7m = 8 Reorder the terms: 2m + -6m + -7m + -9m2 = 8 Combine like terms: 2m + -6m = -4m -4m + -7m + -9m2 = 8 Combine like terms: -4m + -7m = -11m -11m + -9m2 = 8 Solving -11m + -9m2 = 8 Solving for variable 'm'. Reorder the terms: -8 + -11m + -9m2 = 8 + -8 Combine like terms: 8 + -8 = 0 -8 + -11m + -9m2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(8 + 11m + 9m2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(8 + 11m + 9m2)' equal to zero and attempt to solve: Simplifying 8 + 11m + 9m2 = 0 Solving 8 + 11m + 9m2 = 0 Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 0.8888888889 + 1.222222222m + m2 = 0 Move the constant term to the right: Add '-0.8888888889' to each side of the equation. 0.8888888889 + 1.222222222m + -0.8888888889 + m2 = 0 + -0.8888888889 Reorder the terms: 0.8888888889 + -0.8888888889 + 1.222222222m + m2 = 0 + -0.8888888889 Combine like terms: 0.8888888889 + -0.8888888889 = 0.0000000000 0.0000000000 + 1.222222222m + m2 = 0 + -0.8888888889 1.222222222m + m2 = 0 + -0.8888888889 Combine like terms: 0 + -0.8888888889 = -0.8888888889 1.222222222m + m2 = -0.8888888889 The m term is 1.222222222m. Take half its coefficient (0.611111111). Square it (0.3734567900) and add it to both sides. Add '0.3734567900' to each side of the equation. 1.222222222m + 0.3734567900 + m2 = -0.8888888889 + 0.3734567900 Reorder the terms: 0.3734567900 + 1.222222222m + m2 = -0.8888888889 + 0.3734567900 Combine like terms: -0.8888888889 + 0.3734567900 = -0.5154320989 0.3734567900 + 1.222222222m + m2 = -0.5154320989 Factor a perfect square on the left side: (m + 0.611111111)(m + 0.611111111) = -0.5154320989 Can't calculate square root of the right side. The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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