5mn-2m(m-2n)=

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Solution for 5mn-2m(m-2n)= equation: 


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

Reorder the terms:
5mn + (4mn + -2m2) = 0
5mn + (4mn + -2m2) = 0

Combine like terms: 5mn + 4mn = 9mn
9mn + -2m2 = 0

Solving
9mn + -2m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), 'm'.
m(9n + -2m) = 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 '(9n + -2m)' equal to zero and attempt to solve:

Simplifying
9n + -2m = 0

Reorder the terms:
-2m + 9n = 0

Solving
-2m + 9n = 0

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

Add '-9n' to each side of the equation.
-2m + 9n + -9n = 0 + -9n

Combine like terms: 9n + -9n = 0
-2m + 0 = 0 + -9n
-2m = 0 + -9n
Remove the zero:
-2m = -9n

Divide each side by '-2'.
m = 4.5n

Simplifying
m = 4.5n
Solution
m = {0, 4.5n}

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