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

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


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

Remove parenthesis around (-5mn)
(5m + 2n) * -5mn = 0

Reorder the terms for easier multiplication:
-5mn(5m + 2n) = 0
(5m * -5mn + 2n * -5mn) = 0

Reorder the terms:
(-10mn2 + -25m2n) = 0
(-10mn2 + -25m2n) = 0

Solving
-10mn2 + -25m2n = 0

Solving for variable 'm'.

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

Ignore the factor -5.

Subproblem 1
Set the factor 'mn' equal to zero and attempt to solve:

Simplifying
mn = 0

Solving
mn = 0

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

Simplifying
mn = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(2n + 5m)' equal to zero and attempt to solve:

Simplifying
2n + 5m = 0

Reorder the terms:
5m + 2n = 0

Solving
5m + 2n = 0

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

Add '-2n' to each side of the equation.
5m + 2n + -2n = 0 + -2n

Combine like terms: 2n + -2n = 0
5m + 0 = 0 + -2n
5m = 0 + -2n
Remove the zero:
5m = -2n

Divide each side by '5'.
m = -0.4n

Simplifying
m = -0.4n
Solution
m = {-0.4n}

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