9m^3-4m=0

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Solution for 9m^3-4m=0 equation:


Simplifying
9m3 + -4m = 0

Reorder the terms:
-4m + 9m3 = 0

Solving
-4m + 9m3 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), 'm'.
m(-4 + 9m2) = 0

Factor a difference between two squares.
m((2 + 3m)(-2 + 3m)) = 0

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 + 3m)' equal to zero and attempt to solve: Simplifying 2 + 3m = 0 Solving 2 + 3m = 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 + 3m = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3m = 0 + -2 3m = 0 + -2 Combine like terms: 0 + -2 = -2 3m = -2 Divide each side by '3'. m = -0.6666666667 Simplifying m = -0.6666666667

Subproblem 3

Set the factor '(-2 + 3m)' equal to zero and attempt to solve: Simplifying -2 + 3m = 0 Solving -2 + 3m = 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 + 3m = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 3m = 0 + 2 3m = 0 + 2 Combine like terms: 0 + 2 = 2 3m = 2 Divide each side by '3'. m = 0.6666666667 Simplifying m = 0.6666666667

Solution

m = {0, -0.6666666667, 0.6666666667}

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