2m(m^2-8)(3m+9)=0

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Solution for 2m(m^2-8)(3m+9)=0 equation:


Simplifying
2m(m2 + -8)(3m + 9) = 0

Reorder the terms:
2m(-8 + m2)(3m + 9) = 0

Reorder the terms:
2m(-8 + m2)(9 + 3m) = 0

Multiply (-8 + m2) * (9 + 3m)
2m(-8(9 + 3m) + m2(9 + 3m)) = 0
2m((9 * -8 + 3m * -8) + m2(9 + 3m)) = 0
2m((-72 + -24m) + m2(9 + 3m)) = 0
2m(-72 + -24m + (9 * m2 + 3m * m2)) = 0
2m(-72 + -24m + (9m2 + 3m3)) = 0
2m(-72 + -24m + 9m2 + 3m3) = 0
(-72 * 2m + -24m * 2m + 9m2 * 2m + 3m3 * 2m) = 0
(-144m + -48m2 + 18m3 + 6m4) = 0

Solving
-144m + -48m2 + 18m3 + 6m4 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '6m'.
6m(-24 + -8m + 3m2 + m3) = 0

Ignore the factor 6.

Subproblem 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 = 0

Subproblem 2

Set the factor '(-24 + -8m + 3m2 + m3)' equal to zero and attempt to solve: Simplifying -24 + -8m + 3m2 + m3 = 0 Solving -24 + -8m + 3m2 + m3 = 0 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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