(7m+8)(3m+8)=0

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Solution for (7m+8)(3m+8)=0 equation: 


Simplifying
(7m + 8)(3m + 8) = 0

Reorder the terms:
(8 + 7m)(3m + 8) = 0

Reorder the terms:
(8 + 7m)(8 + 3m) = 0

Multiply (8 + 7m) * (8 + 3m)
(8(8 + 3m) + 7m * (8 + 3m)) = 0
((8 * 8 + 3m * 8) + 7m * (8 + 3m)) = 0
((64 + 24m) + 7m * (8 + 3m)) = 0
(64 + 24m + (8 * 7m + 3m * 7m)) = 0
(64 + 24m + (56m + 21m2)) = 0

Combine like terms: 24m + 56m = 80m
(64 + 80m + 21m2) = 0

Solving
64 + 80m + 21m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(8 + 3m)(8 + 7m) = 0


Subproblem 1
Set the factor '(8 + 3m)' equal to zero and attempt to solve:

Simplifying
8 + 3m = 0

Solving
8 + 3m = 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 + 3m = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 3m = 0 + -8
3m = 0 + -8

Combine like terms: 0 + -8 = -8
3m = -8

Divide each side by '3'.
m = -2.666666667

Simplifying
m = -2.666666667

Subproblem 2
Set the factor '(8 + 7m)' equal to zero and attempt to solve:

Simplifying
8 + 7m = 0

Solving
8 + 7m = 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 + 7m = 0 + -8

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

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

Divide each side by '7'.
m = -1.142857143

Simplifying
m = -1.142857143
Solution
m = {-2.666666667, -1.142857143}

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