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Simplifying 9m8 + -9m7 + -18m6 = 0 Reorder the terms: -18m6 + -9m7 + 9m8 = 0 Solving -18m6 + -9m7 + 9m8 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '9m6'. 9m6(-2 + -1m + m2) = 0 Factor a trinomial. 9m6((-1 + -1m)(2 + -1m)) = 0 Ignore the factor 9.Subproblem 1
Set the factor 'm6' equal to zero and attempt to solve: Simplifying m6 = 0 Solving m6 = 0 Move all terms containing m to the left, all other terms to the right. Simplifying m6 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-1 + -1m)' equal to zero and attempt to solve: Simplifying -1 + -1m = 0 Solving -1 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -1m = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1m = 0 + 1 -1m = 0 + 1 Combine like terms: 0 + 1 = 1 -1m = 1 Divide each side by '-1'. m = -1 Simplifying m = -1Subproblem 3
Set the factor '(2 + -1m)' equal to zero and attempt to solve: Simplifying 2 + -1m = 0 Solving 2 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1m = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1m = 0 + -2 -1m = 0 + -2 Combine like terms: 0 + -2 = -2 -1m = -2 Divide each side by '-1'. m = 2 Simplifying m = 2Solution
m = {-1, 2}
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