m[m-5]+8[m-5]=0

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Solution for m[m-5]+8[m-5]=0 equation: 


Simplifying
m[m + -5] + 8[m + -5] = 0

Reorder the terms:
m[-5 + m] + 8[m + -5] = 0
[-5 * m + m * m] + 8[m + -5] = 0
[-5m + m2] + 8[m + -5] = 0

Reorder the terms:
-5m + m2 + 8[-5 + m] = 0
-5m + m2 + [-5 * 8 + m * 8] = 0
-5m + m2 + [-40 + 8m] = 0

Reorder the terms:
-40 + -5m + 8m + m2 = 0

Combine like terms: -5m + 8m = 3m
-40 + 3m + m2 = 0

Solving
-40 + 3m + m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(-8 + -1m)(5 + -1m) = 0


Subproblem 1
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

Subproblem 2
Set the factor '(5 + -1m)' equal to zero and attempt to solve:

Simplifying
5 + -1m = 0

Solving
5 + -1m = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1m = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1m = 0 + -5
-1m = 0 + -5

Combine like terms: 0 + -5 = -5
-1m = -5

Divide each side by '-1'.
m = 5

Simplifying
m = 5
Solution
m = {-8, 5}

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