3mn(m+6n)=

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


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

Reorder the terms:
(18mn2 + 3m2n) = 0
(18mn2 + 3m2n) = 0

Solving
18mn2 + 3m2n = 0

Solving for variable 'm'.

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

Ignore the factor 3.

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 '(6n + m)' equal to zero and attempt to solve: Simplifying 6n + m = 0 Reorder the terms: m + 6n = 0 Solving m + 6n = 0 Move all terms containing m to the left, all other terms to the right. Add '-6n' to each side of the equation. m + 6n + -6n = 0 + -6n Combine like terms: 6n + -6n = 0 m + 0 = 0 + -6n m = 0 + -6n Remove the zero: m = -6n Simplifying m = -6n

Solution

m = {-6n}

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