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Simplifying 44m4 + -140m3 + 24m2 = 0 Reorder the terms: 24m2 + -140m3 + 44m4 = 0 Solving 24m2 + -140m3 + 44m4 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '4m2'. 4m2(6 + -35m + 11m2) = 0 Factor a trinomial. 4m2((2 + -11m)(3 + -1m)) = 0 Ignore the factor 4.Subproblem 1
Set the factor 'm2' equal to zero and attempt to solve: Simplifying m2 = 0 Solving m2 = 0 Move all terms containing m to the left, all other terms to the right. Simplifying m2 = 0 Take the square root of each side: m = {0}Subproblem 2
Set the factor '(2 + -11m)' equal to zero and attempt to solve: Simplifying 2 + -11m = 0 Solving 2 + -11m = 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 + -11m = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -11m = 0 + -2 -11m = 0 + -2 Combine like terms: 0 + -2 = -2 -11m = -2 Divide each side by '-11'. m = 0.1818181818 Simplifying m = 0.1818181818Subproblem 3
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 = 3Solution
m = {0, 0.1818181818, 3}
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