6m(m+16)(m-13)=0

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Solution for 6m(m+16)(m-13)=0 equation: 


Simplifying
6m(m + 16)(m + -13) = 0

Reorder the terms:
6m(16 + m)(m + -13) = 0

Reorder the terms:
6m(16 + m)(-13 + m) = 0

Multiply (16 + m) * (-13 + m)
6m(16(-13 + m) + m(-13 + m)) = 0
6m((-13 * 16 + m * 16) + m(-13 + m)) = 0
6m((-208 + 16m) + m(-13 + m)) = 0
6m(-208 + 16m + (-13 * m + m * m)) = 0
6m(-208 + 16m + (-13m + m2)) = 0

Combine like terms: 16m + -13m = 3m
6m(-208 + 3m + m2) = 0
(-208 * 6m + 3m * 6m + m2 * 6m) = 0
(-1248m + 18m2 + 6m3) = 0

Solving
-1248m + 18m2 + 6m3 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '6m'.
6m(-208 + 3m + m2) = 0

Factor a trinomial.
6m((-16 + -1m)(13 + -1m)) = 0

Ignore the factor 6.

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 '(-16 + -1m)' equal to zero and attempt to solve:

Simplifying
-16 + -1m = 0

Solving
-16 + -1m = 0

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

Add '16' to each side of the equation.
-16 + 16 + -1m = 0 + 16

Combine like terms: -16 + 16 = 0
0 + -1m = 0 + 16
-1m = 0 + 16

Combine like terms: 0 + 16 = 16
-1m = 16

Divide each side by '-1'.
m = -16

Simplifying
m = -16

Subproblem 3
Set the factor '(13 + -1m)' equal to zero and attempt to solve:

Simplifying
13 + -1m = 0

Solving
13 + -1m = 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 + -1m = 0 + -13

Combine like terms: 13 + -13 = 0
0 + -1m = 0 + -13
-1m = 0 + -13

Combine like terms: 0 + -13 = -13
-1m = -13

Divide each side by '-1'.
m = 13

Simplifying
m = 13
Solution
m = {0, -16, 13}

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