3m^3=-6m

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Solution for 3m^3=-6m equation:


Simplifying
3m3 = -6m

Solving
3m3 = -6m

Solving for variable 'm'.

Reorder the terms:
6m + 3m3 = -6m + 6m

Combine like terms: -6m + 6m = 0
6m + 3m3 = 0

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

Ignore the factor 3.

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 '(2 + m2)' equal to zero and attempt to solve: Simplifying 2 + m2 = 0 Solving 2 + m2 = 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 + m2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + m2 = 0 + -2 m2 = 0 + -2 Combine like terms: 0 + -2 = -2 m2 = -2 Simplifying m2 = -2 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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