3m^3=32m

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Solution for 3m^3=32m equation:


Simplifying
3m3 = 32m

Solving
3m3 = 32m

Solving for variable 'm'.

Reorder the terms:
-32m + 3m3 = 32m + -32m

Combine like terms: 32m + -32m = 0
-32m + 3m3 = 0

Factor out the Greatest Common Factor (GCF), 'm'.
m(-32 + 3m2) = 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 '(-32 + 3m2)' equal to zero and attempt to solve: Simplifying -32 + 3m2 = 0 Solving -32 + 3m2 = 0 Move all terms containing m to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + 3m2 = 0 + 32 Combine like terms: -32 + 32 = 0 0 + 3m2 = 0 + 32 3m2 = 0 + 32 Combine like terms: 0 + 32 = 32 3m2 = 32 Divide each side by '3'. m2 = 10.66666667 Simplifying m2 = 10.66666667 Take the square root of each side: m = {-3.265986324, 3.265986324}

Solution

m = {0, -3.265986324, 3.265986324}

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