36m^3-25m=0

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Solution for 36m^3-25m=0 equation:


Simplifying
36m3 + -25m = 0

Reorder the terms:
-25m + 36m3 = 0

Solving
-25m + 36m3 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), 'm'.
m(-25 + 36m2) = 0

Factor a difference between two squares.
m((5 + 6m)(-5 + 6m)) = 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 '(5 + 6m)' equal to zero and attempt to solve: Simplifying 5 + 6m = 0 Solving 5 + 6m = 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 + 6m = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 6m = 0 + -5 6m = 0 + -5 Combine like terms: 0 + -5 = -5 6m = -5 Divide each side by '6'. m = -0.8333333333 Simplifying m = -0.8333333333

Subproblem 3

Set the factor '(-5 + 6m)' equal to zero and attempt to solve: Simplifying -5 + 6m = 0 Solving -5 + 6m = 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 + 6m = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 6m = 0 + 5 6m = 0 + 5 Combine like terms: 0 + 5 = 5 6m = 5 Divide each side by '6'. m = 0.8333333333 Simplifying m = 0.8333333333

Solution

m = {0, -0.8333333333, 0.8333333333}

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