(3m)(2m+9)=0

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Solution for (3m)(2m+9)=0 equation: 


Simplifying
(3m)(2m + 9) = 0

Remove parenthesis around (3m)
3m(2m + 9) = 0

Reorder the terms:
3m(9 + 2m) = 0
(9 * 3m + 2m * 3m) = 0
(27m + 6m2) = 0

Solving
27m + 6m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '3m'.
3m(9 + 2m) = 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 '(9 + 2m)' equal to zero and attempt to solve:

Simplifying
9 + 2m = 0

Solving
9 + 2m = 0

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

Add '-9' to each side of the equation.
9 + -9 + 2m = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 2m = 0 + -9
2m = 0 + -9

Combine like terms: 0 + -9 = -9
2m = -9

Divide each side by '2'.
m = -4.5

Simplifying
m = -4.5
Solution
m = {0, -4.5}

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