(4m+7)(3m+8)=0

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Solution for (4m+7)(3m+8)=0 equation: 


Simplifying
(4m + 7)(3m + 8) = 0

Reorder the terms:
(7 + 4m)(3m + 8) = 0

Reorder the terms:
(7 + 4m)(8 + 3m) = 0

Multiply (7 + 4m) * (8 + 3m)
(7(8 + 3m) + 4m * (8 + 3m)) = 0
((8 * 7 + 3m * 7) + 4m * (8 + 3m)) = 0
((56 + 21m) + 4m * (8 + 3m)) = 0
(56 + 21m + (8 * 4m + 3m * 4m)) = 0
(56 + 21m + (32m + 12m2)) = 0

Combine like terms: 21m + 32m = 53m
(56 + 53m + 12m2) = 0

Solving
56 + 53m + 12m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(8 + 3m)(7 + 4m) = 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 '(7 + 4m)' equal to zero and attempt to solve:

Simplifying
7 + 4m = 0

Solving
7 + 4m = 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 + 4m = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 4m = 0 + -7
4m = 0 + -7

Combine like terms: 0 + -7 = -7
4m = -7

Divide each side by '4'.
m = -1.75

Simplifying
m = -1.75
Solution
m = {-2.666666667, -1.75}

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