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Simplifying -4m7 + 36m4 + -81m = 0 Reorder the terms: -81m + 36m4 + -4m7 = 0 Solving -81m + 36m4 + -4m7 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), 'm'. m(-81 + 36m3 + -4m6) = 0 Factor a trinomial. m((-9 + 2m3)(9 + -2m3)) = 0Subproblem 1
Set the factor 'm' equal to zero and attempt to solve: Simplifying m = 0 Solving m = 0 Move all terms containing m to the left, all other terms to the right. Simplifying m = 0Subproblem 2
Set the factor '(-9 + 2m3)' equal to zero and attempt to solve: Simplifying -9 + 2m3 = 0 Solving -9 + 2m3 = 0 Move all terms containing m to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 2m3 = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 2m3 = 0 + 9 2m3 = 0 + 9 Combine like terms: 0 + 9 = 9 2m3 = 9 Divide each side by '2'. m3 = 4.5 Simplifying m3 = 4.5 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(9 + -2m3)' equal to zero and attempt to solve: Simplifying 9 + -2m3 = 0 Solving 9 + -2m3 = 0 Move all terms containing m to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -2m3 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -2m3 = 0 + -9 -2m3 = 0 + -9 Combine like terms: 0 + -9 = -9 -2m3 = -9 Divide each side by '-2'. m3 = 4.5 Simplifying m3 = 4.5 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
m = {0}
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