3m(6m+5n)=

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Solution for 3m(6m+5n)= equation: 


Simplifying
3m(6m + 5n) = 0
(6m * 3m + 5n * 3m) = 0

Reorder the terms:
(15mn + 18m2) = 0
(15mn + 18m2) = 0

Solving
15mn + 18m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '3m'.
3m(5n + 6m) = 0

Ignore the factor 3.

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 '(5n + 6m)' equal to zero and attempt to solve:

Simplifying
5n + 6m = 0

Reorder the terms:
6m + 5n = 0

Solving
6m + 5n = 0

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

Add '-5n' to each side of the equation.
6m + 5n + -5n = 0 + -5n

Combine like terms: 5n + -5n = 0
6m + 0 = 0 + -5n
6m = 0 + -5n
Remove the zero:
6m = -5n

Divide each side by '6'.
m = -0.8333333333n

Simplifying
m = -0.8333333333n
Solution
m = {0, -0.8333333333n}

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