m(m+3)(m-8)=0

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Solution for m(m+3)(m-8)=0 equation: 


Simplifying
m(m + 3)(m + -8) = 0

Reorder the terms:
m(3 + m)(m + -8) = 0

Reorder the terms:
m(3 + m)(-8 + m) = 0

Multiply (3 + m) * (-8 + m)
m(3(-8 + m) + m(-8 + m)) = 0
m((-8 * 3 + m * 3) + m(-8 + m)) = 0
m((-24 + 3m) + m(-8 + m)) = 0
m(-24 + 3m + (-8 * m + m * m)) = 0
m(-24 + 3m + (-8m + m2)) = 0

Combine like terms: 3m + -8m = -5m
m(-24 + -5m + m2) = 0
(-24 * m + -5m * m + m2 * m) = 0
(-24m + -5m2 + m3) = 0

Solving
-24m + -5m2 + m3 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), 'm'.
m(-24 + -5m + m2) = 0

Factor a trinomial.
m((-3 + -1m)(8 + -1m)) = 0


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 '(-3 + -1m)' equal to zero and attempt to solve:

Simplifying
-3 + -1m = 0

Solving
-3 + -1m = 0

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

Add '3' to each side of the equation.
-3 + 3 + -1m = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -1m = 0 + 3
-1m = 0 + 3

Combine like terms: 0 + 3 = 3
-1m = 3

Divide each side by '-1'.
m = -3

Simplifying
m = -3

Subproblem 3
Set the factor '(8 + -1m)' equal to zero and attempt to solve:

Simplifying
8 + -1m = 0

Solving
8 + -1m = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1m = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1m = 0 + -8
-1m = 0 + -8

Combine like terms: 0 + -8 = -8
-1m = -8

Divide each side by '-1'.
m = 8

Simplifying
m = 8
Solution
m = {0, -3, 8}

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