(2m+5)(8m+7)=

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Solution for (2m+5)(8m+7)= equation: 


Simplifying
(2m + 5)(8m + 7) = 0

Reorder the terms:
(5 + 2m)(8m + 7) = 0

Reorder the terms:
(5 + 2m)(7 + 8m) = 0

Multiply (5 + 2m) * (7 + 8m)
(5(7 + 8m) + 2m * (7 + 8m)) = 0
((7 * 5 + 8m * 5) + 2m * (7 + 8m)) = 0
((35 + 40m) + 2m * (7 + 8m)) = 0
(35 + 40m + (7 * 2m + 8m * 2m)) = 0
(35 + 40m + (14m + 16m2)) = 0

Combine like terms: 40m + 14m = 54m
(35 + 54m + 16m2) = 0

Solving
35 + 54m + 16m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(5 + 2m)(7 + 8m) = 0


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 '(7 + 8m)' equal to zero and attempt to solve:

Simplifying
7 + 8m = 0

Solving
7 + 8m = 0

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

Add '-7' to each side of the equation.
7 + -7 + 8m = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 8m = 0 + -7
8m = 0 + -7

Combine like terms: 0 + -7 = -7
8m = -7

Divide each side by '8'.
m = -0.875

Simplifying
m = -0.875
Solution
m = {-2.5, -0.875}

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