5m(2m+n)=

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Solution for 5m(2m+n)= equation: 


Simplifying
5m(2m + n) = 0
(2m * 5m + n * 5m) = 0

Reorder the terms:
(5mn + 10m2) = 0
(5mn + 10m2) = 0

Solving
5mn + 10m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '5m'.
5m(n + 2m) = 0

Ignore the factor 5.

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 '(n + 2m)' equal to zero and attempt to solve:

Simplifying
n + 2m = 0

Reorder the terms:
2m + n = 0

Solving
2m + n = 0

Move all terms containing m to the left, all other terms to the right.

Add '-1n' to each side of the equation.
2m + n + -1n = 0 + -1n

Combine like terms: n + -1n = 0
2m + 0 = 0 + -1n
2m = 0 + -1n
Remove the zero:
2m = -1n

Divide each side by '2'.
m = -0.5n

Simplifying
m = -0.5n
Solution
m = {0, -0.5n}

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