6m^3+10m=0

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Solution for 6m^3+10m=0 equation:


Simplifying
6m3 + 10m = 0

Reorder the terms:
10m + 6m3 = 0

Solving
10m + 6m3 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '2m'.
2m(5 + 3m2) = 0

Ignore the factor 2.

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 '(5 + 3m2)' equal to zero and attempt to solve: Simplifying 5 + 3m2 = 0 Solving 5 + 3m2 = 0 Move all terms containing m to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 3m2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 3m2 = 0 + -5 3m2 = 0 + -5 Combine like terms: 0 + -5 = -5 3m2 = -5 Divide each side by '3'. m2 = -1.666666667 Simplifying m2 = -1.666666667 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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