6m(15m+3n)=

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Solution for 6m(15m+3n)= equation: 


Simplifying
6m(15m + 3n) = 0
(15m * 6m + 3n * 6m) = 0

Reorder the terms:
(18mn + 90m2) = 0
(18mn + 90m2) = 0

Solving
18mn + 90m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '18m'.
18m(n + 5m) = 0

Ignore the factor 18.

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

Simplifying
n + 5m = 0

Reorder the terms:
5m + n = 0

Solving
5m + n = 0

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

Add '-1n' to each side of the equation.
5m + n + -1n = 0 + -1n

Combine like terms: n + -1n = 0
5m + 0 = 0 + -1n
5m = 0 + -1n
Remove the zero:
5m = -1n

Divide each side by '5'.
m = -0.2n

Simplifying
m = -0.2n
Solution
m = {0, -0.2n}

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