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

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Solution for 5(m+3)(m-8)=0 equation: 


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

Reorder the terms:
5(3 + m)(m + -8) = 0

Reorder the terms:
5(3 + m)(-8 + m) = 0

Multiply (3 + m) * (-8 + m)
5(3(-8 + m) + m(-8 + m)) = 0
5((-8 * 3 + m * 3) + m(-8 + m)) = 0
5((-24 + 3m) + m(-8 + m)) = 0
5(-24 + 3m + (-8 * m + m * m)) = 0
5(-24 + 3m + (-8m + m2)) = 0

Combine like terms: 3m + -8m = -5m
5(-24 + -5m + m2) = 0
(-24 * 5 + -5m * 5 + m2 * 5) = 0
(-120 + -25m + 5m2) = 0

Solving
-120 + -25m + 5m2 = 0

Solving for variable 'm'.

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

Factor a trinomial.
5((-3 + -1m)(8 + -1m)) = 0

Ignore the factor 5.

Subproblem 1
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 2
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 = {-3, 8}

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