(2mn)(5mn+2)=

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Solution for (2mn)(5mn+2)= equation: 


Simplifying
(2mn)(5mn + 2) = 0

Remove parenthesis around (2mn)
2mn(5mn + 2) = 0

Reorder the terms:
2mn(2 + 5mn) = 0
(2 * 2mn + 5mn * 2mn) = 0
(4mn + 10m2n2) = 0

Solving
4mn + 10m2n2 = 0

Solving for variable 'm'.

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

Ignore the factor 2.

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 '(2 + 5mn)' equal to zero and attempt to solve:

Simplifying
2 + 5mn = 0

Solving
2 + 5mn = 0

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

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

Combine like terms: 2 + -2 = 0
0 + 5mn = 0 + -2
5mn = 0 + -2

Combine like terms: 0 + -2 = -2
5mn = -2

Divide each side by '5n'.
m = -0.4n-1

Simplifying
m = -0.4n-1
Solution
m = {-0.4n-1}

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