8m^3-64m=0

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Solution for 8m^3-64m=0 equation:


Simplifying
8m3 + -64m = 0

Reorder the terms:
-64m + 8m3 = 0

Solving
-64m + 8m3 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '8m'.
8m(-8 + m2) = 0

Ignore the factor 8.

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 '(-8 + m2)' equal to zero and attempt to solve: Simplifying -8 + m2 = 0 Solving -8 + m2 = 0 Move all terms containing m to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + m2 = 0 + 8 Combine like terms: -8 + 8 = 0 0 + m2 = 0 + 8 m2 = 0 + 8 Combine like terms: 0 + 8 = 8 m2 = 8 Simplifying m2 = 8 Take the square root of each side: m = {-2.828427125, 2.828427125}

Solution

m = {0, -2.828427125, 2.828427125}

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