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

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


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

Multiply n * m
(5m + 2mn) + (m * 5m) = 0

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

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

Multiply m * m
5m + 2mn + (5m2) = 0

Solving
5m + 2mn + (5m2) = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), 'm'.
m(5 + 2n + (5m)) = 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 '(5 + 2n + (5m))' equal to zero and attempt to solve:

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

Reorder the terms:
5 + (5m) + 2n = 0

Solving
5 + (5m) + 2n = 0

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

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

Reorder the terms:
5 + -5 + (5m) + 2n = 0 + -5

Combine like terms: 5 + -5 = 0
0 + (5m) + 2n = 0 + -5
(5m) + 2n = 0 + -5

Combine like terms: 0 + -5 = -5
(5m) + 2n = -5

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

Combine like terms: 2n + -2n = 0
(5m) + 0 = -5 + -2n
(5m) = -5 + -2n

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

Simplifying
m = -1 + -0.4n
Solution
m = {0, -1 + -0.4n}

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