m^4+5m^2=

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Solution for m^4+5m^2= equation:


Simplifying
m4 + 5m2 = 0

Reorder the terms:
5m2 + m4 = 0

Solving
5m2 + m4 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), 'm2'.
m2(5 + m2) = 0

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 '(5 + m2)' equal to zero and attempt to solve: Simplifying 5 + m2 = 0 Solving 5 + m2 = 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 + m2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + m2 = 0 + -5 m2 = 0 + -5 Combine like terms: 0 + -5 = -5 m2 = -5 Simplifying m2 = -5 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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