9m^3=16m

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Solution for 9m^3=16m equation:


Simplifying
9m3 = 16m

Solving
9m3 = 16m

Solving for variable 'm'.

Reorder the terms:
-16m + 9m3 = 16m + -16m

Combine like terms: 16m + -16m = 0
-16m + 9m3 = 0

Factor out the Greatest Common Factor (GCF), 'm'.
m(-16 + 9m2) = 0

Factor a difference between two squares.
m((4 + 3m)(-4 + 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 '(4 + 3m)' equal to zero and attempt to solve: Simplifying 4 + 3m = 0 Solving 4 + 3m = 0 Move all terms containing m to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 3m = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3m = 0 + -4 3m = 0 + -4 Combine like terms: 0 + -4 = -4 3m = -4 Divide each side by '3'. m = -1.333333333 Simplifying m = -1.333333333

Subproblem 3

Set the factor '(-4 + 3m)' equal to zero and attempt to solve: Simplifying -4 + 3m = 0 Solving -4 + 3m = 0 Move all terms containing m to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 3m = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 3m = 0 + 4 3m = 0 + 4 Combine like terms: 0 + 4 = 4 3m = 4 Divide each side by '3'. m = 1.333333333 Simplifying m = 1.333333333

Solution

m = {0, -1.333333333, 1.333333333}

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