(2m+5)(12m+8)=

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Solution for (2m+5)(12m+8)= equation: 


Simplifying
(2m + 5)(12m + 8) = 0

Reorder the terms:
(5 + 2m)(12m + 8) = 0

Reorder the terms:
(5 + 2m)(8 + 12m) = 0

Multiply (5 + 2m) * (8 + 12m)
(5(8 + 12m) + 2m * (8 + 12m)) = 0
((8 * 5 + 12m * 5) + 2m * (8 + 12m)) = 0
((40 + 60m) + 2m * (8 + 12m)) = 0
(40 + 60m + (8 * 2m + 12m * 2m)) = 0
(40 + 60m + (16m + 24m2)) = 0

Combine like terms: 60m + 16m = 76m
(40 + 76m + 24m2) = 0

Solving
40 + 76m + 24m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '4'.
4(10 + 19m + 6m2) = 0

Factor a trinomial.
4((5 + 2m)(2 + 3m)) = 0

Ignore the factor 4.

Subproblem 1
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

Subproblem 2
Set the factor '(2 + 3m)' equal to zero and attempt to solve:

Simplifying
2 + 3m = 0

Solving
2 + 3m = 0

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

Add '-2' to each side of the equation.
2 + -2 + 3m = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 3m = 0 + -2
3m = 0 + -2

Combine like terms: 0 + -2 = -2
3m = -2

Divide each side by '3'.
m = -0.6666666667

Simplifying
m = -0.6666666667
Solution
m = {-2.5, -0.6666666667}

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