3m^3-9m=0

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Solution for 3m^3-9m=0 equation:


Simplifying
3m3 + -9m = 0

Reorder the terms:
-9m + 3m3 = 0

Solving
-9m + 3m3 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '3m'.
3m(-3 + 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 '(-3 + m2)' equal to zero and attempt to solve: Simplifying -3 + m2 = 0 Solving -3 + m2 = 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 + m2 = 0 + 3 Combine like terms: -3 + 3 = 0 0 + m2 = 0 + 3 m2 = 0 + 3 Combine like terms: 0 + 3 = 3 m2 = 3 Simplifying m2 = 3 Take the square root of each side: m = {-1.732050808, 1.732050808}

Solution

m = {0, -1.732050808, 1.732050808}

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