3m^5=-648m^2

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Solution for 3m^5=-648m^2 equation:


Simplifying
3m5 = -648m2

Solving
3m5 = -648m2

Solving for variable 'm'.

Reorder the terms:
648m2 + 3m5 = -648m2 + 648m2

Combine like terms: -648m2 + 648m2 = 0
648m2 + 3m5 = 0

Factor out the Greatest Common Factor (GCF), '3m2'.
3m2(216 + m3) = 0

Ignore the factor 3.

Subproblem 1

Set the factor 'm2' equal to zero and attempt to solve: Simplifying m2 = 0 Solving m2 = 0 Move all terms containing m to the left, all other terms to the right. Simplifying m2 = 0 Take the square root of each side: m = {0}

Subproblem 2

Set the factor '(216 + m3)' equal to zero and attempt to solve: Simplifying 216 + m3 = 0 Solving 216 + m3 = 0 Move all terms containing m to the left, all other terms to the right. Add '-216' to each side of the equation. 216 + -216 + m3 = 0 + -216 Combine like terms: 216 + -216 = 0 0 + m3 = 0 + -216 m3 = 0 + -216 Combine like terms: 0 + -216 = -216 m3 = -216 Simplifying m3 = -216 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

m = {0}

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