(2m-5)(m+8)=0

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Solution for (2m-5)(m+8)=0 equation: 


Simplifying
(2m + -5)(m + 8) = 0

Reorder the terms:
(-5 + 2m)(m + 8) = 0

Reorder the terms:
(-5 + 2m)(8 + m) = 0

Multiply (-5 + 2m) * (8 + m)
(-5(8 + m) + 2m * (8 + m)) = 0
((8 * -5 + m * -5) + 2m * (8 + m)) = 0
((-40 + -5m) + 2m * (8 + m)) = 0
(-40 + -5m + (8 * 2m + m * 2m)) = 0
(-40 + -5m + (16m + 2m2)) = 0

Combine like terms: -5m + 16m = 11m
(-40 + 11m + 2m2) = 0

Solving
-40 + 11m + 2m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(-8 + -1m)(5 + -2m) = 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 + -2m)' equal to zero and attempt to solve:

Simplifying
5 + -2m = 0

Solving
5 + -2m = 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 + -2m = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -2m = 0 + -5
-2m = 0 + -5

Combine like terms: 0 + -5 = -5
-2m = -5

Divide each side by '-2'.
m = 2.5

Simplifying
m = 2.5
Solution
m = {-8, 2.5}

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