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Simplifying 4m10 + -44m9 + -168m8 = 0 Reorder the terms: -168m8 + -44m9 + 4m10 = 0 Solving -168m8 + -44m9 + 4m10 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '4m8'. 4m8(-42 + -11m + m2) = 0 Factor a trinomial. 4m8((-3 + -1m)(14 + -1m)) = 0 Ignore the factor 4.Subproblem 1
Set the factor 'm8' equal to zero and attempt to solve: Simplifying m8 = 0 Solving m8 = 0 Move all terms containing m to the left, all other terms to the right. Simplifying m8 = 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 '(-3 + -1m)' equal to zero and attempt to solve: Simplifying -3 + -1m = 0 Solving -3 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -1m = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1m = 0 + 3 -1m = 0 + 3 Combine like terms: 0 + 3 = 3 -1m = 3 Divide each side by '-1'. m = -3 Simplifying m = -3Subproblem 3
Set the factor '(14 + -1m)' equal to zero and attempt to solve: Simplifying 14 + -1m = 0 Solving 14 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -1m = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -1m = 0 + -14 -1m = 0 + -14 Combine like terms: 0 + -14 = -14 -1m = -14 Divide each side by '-1'. m = 14 Simplifying m = 14Solution
m = {-3, 14}
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