2m(3m+13)=

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Solution for 2m(3m+13)= equation: 


Simplifying
2m(3m + 13) = 0

Reorder the terms:
2m(13 + 3m) = 0
(13 * 2m + 3m * 2m) = 0
(26m + 6m2) = 0

Solving
26m + 6m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '2m'.
2m(13 + 3m) = 0

Ignore the factor 2.

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 '(13 + 3m)' equal to zero and attempt to solve:

Simplifying
13 + 3m = 0

Solving
13 + 3m = 0

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

Add '-13' to each side of the equation.
13 + -13 + 3m = 0 + -13

Combine like terms: 13 + -13 = 0
0 + 3m = 0 + -13
3m = 0 + -13

Combine like terms: 0 + -13 = -13
3m = -13

Divide each side by '3'.
m = -4.333333333

Simplifying
m = -4.333333333
Solution
m = {0, -4.333333333}

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