3m(3m+2n)=0

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Solution for 3m(3m+2n)=0 equation:


Simplifying
3m(3m + 2n) = 0
(3m * 3m + 2n * 3m) = 0

Reorder the terms:
(6mn + 9m2) = 0
(6mn + 9m2) = 0

Solving
6mn + 9m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '3m'.
3m(2n + 3m) = 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 '(2n + 3m)' equal to zero and attempt to solve: Simplifying 2n + 3m = 0 Reorder the terms: 3m + 2n = 0 Solving 3m + 2n = 0 Move all terms containing m to the left, all other terms to the right. Add '-2n' to each side of the equation. 3m + 2n + -2n = 0 + -2n Combine like terms: 2n + -2n = 0 3m + 0 = 0 + -2n 3m = 0 + -2n Remove the zero: 3m = -2n Divide each side by '3'. m = -0.6666666667n Simplifying m = -0.6666666667n

Solution

m = {0, -0.6666666667n}

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